{"id":2138,"date":"2022-11-09T05:24:46","date_gmt":"2022-11-09T05:24:46","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2138"},"modified":"2022-11-09T05:24:46","modified_gmt":"2022-11-09T05:24:46","slug":"ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-2\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 12 (Algebraic Expressions)<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 7 Mathematics <strong>Chapter &#8211; 12 Algebraic Expressions\u00a0 <\/strong>Exercise 12.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 12 Algebraic Expressions<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-1\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 12.1<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-3\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 12.3<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-12-algebraic-expressions-ex-12-4\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 12.4<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 12.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>1. Simplify combining like terms:<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 21b \u2013 32 + 7b \u2013 20b<br \/>\n(ii) -z<sup>2<\/sup>\u00a0+ 13z2 -5z + 7z<sup>3<\/sup>\u00a0\u2013 15<sup>2<\/sup><br \/>\n(iii) p \u2013 (p \u2013 q) \u2013 q \u2013 (q \u2013 p)<br \/>\n(iv) 3a \u2013 2b \u2014 ab \u2013 (a \u2013 b + ab) + 3ab + 6 \u2013 a<br \/>\n(v) 5x<sup>2<\/sup>y \u2013 5x<sup>2<\/sup>\u00a0+ 3yx<sup>2<\/sup>\u00a0\u2013 3y<sup>2<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0+ 8xy<sup>2<\/sup>\u00a0-3y<sup>2<\/sup><br \/>\n(vi) (3y<sup>2<\/sup>\u00a0+ 5y \u2013 4) \u2013 (8y \u2013 y<sup>2<\/sup>\u00a0\u2013 4)<br \/>\n<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 21b \u2013 32 + 7b \u2013 20b<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= (21b + 7b \u2013 20b) \u2013 32<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= b(21 + 7 \u2013 20) \u2013 32<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= b(28 \u2013 20) \u2013 32<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= b(8) \u2013 32<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 8b \u2013 32<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) \u2013 z<sup>2<\/sup>\u00a0+ 13z<sup>2<\/sup>\u00a0\u2013 5z + 7z<sup>3<\/sup>\u00a0\u2013 15z<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 7z<sup>3<\/sup>\u00a0+ (-z<sup>2<\/sup>\u00a0+ 13z<sup>2<\/sup>) + (-5z \u2013 15z)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 7z<sup>3\u00a0<\/sup>+ z<sup>2\u00a0<\/sup>(-1 + 13) + z (-5 \u2013 15)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 7z<sup>3\u00a0<\/sup>+ z<sup>2<\/sup>\u00a0(12) + z (-20)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 7z<sup>3\u00a0<\/sup>+ 12z<sup>2<\/sup>\u00a0\u2013 20z<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) p \u2013 (p \u2013 q) \u2013 q \u2013 (q \u2013 p)<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= p \u2013 p + q \u2013 q \u2013 q + p<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= p \u2013 q<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) 3a \u2013 2b \u2013 ab \u2013 (a \u2013 b + ab) + 3ab + b \u2013 a<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 3a \u2013 2b \u2013 ab \u2013 a + b \u2013 ab + 3ab + b \u2013 a<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3a \u2013 a \u2013 a \u2013 2b + b + b \u2013 ab \u2013 ab + 3ab<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a(1 \u2013 1- 1) + b(-2 + 1 + 1) + ab(-1 -1 + 3)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a(1 \u2013 2) + b(-2 + 2) + ab(-2 + 3)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a(1) + b(0) + ab(1)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a + ab<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v) 5x<sup>2<\/sup>y \u2013 5x<sup>2<\/sup>\u00a0+ 3yx<sup>2<\/sup>\u00a0\u2013 3y<sup>2<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0+ 8xy<sup>2<\/sup>\u00a0\u2013 3y<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 5x<sup>2<\/sup>y + 3yx<sup>2<\/sup>\u00a0\u2013 5x<sup>2<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0\u2013 3y<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0\u2013 3y<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>y (5 + 3) + x<sup>2<\/sup>\u00a0(- 5 + 1) + y<sup>2<\/sup>\u00a0(-3 \u2013 1 -3) + 8xy<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>y (8) + x<sup>2<\/sup>\u00a0(-4) + y<sup>2<\/sup>\u00a0(-7) + 8xy<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 8x<sup>2<\/sup>y \u2013 4x<sup>2<\/sup>\u00a0\u2013 7y<sup>2<\/sup>\u00a0+ 8xy<sup>2<\/sup><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(vi) (3y<sup>2<\/sup>\u00a0+ 5y \u2013 4) \u2013 (8y \u2013 y<sup>2<\/sup>\u00a0\u2013 4)<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 3y<sup>2<\/sup>\u00a0+ 5y \u2013 4 \u2013 8y + y<sup>2<\/sup>\u00a0+ 4<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3y<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0+ 5y \u2013 8y \u2013 4 + 4<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= y<sup>2<\/sup>\u00a0(3 + 1) + y (5 \u2013 8) + (-4 + 4)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= y<sup>2<\/sup>\u00a0(4) + y (-3) + (0)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 4y<sup>2<\/sup>\u00a0\u2013 3y<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>2. Add:<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 3mn, \u2013 5mn, 8mn, \u2013 4mn<br \/>\n(ii) t \u2013 8tz, 3tz, -z, z \u2013 t<br \/>\n(iii) -7mn + 5, 12mn + 2, 9mn \u2013 8, -2mn \u2013 3<br \/>\n(iv) a + b \u2013 3, b \u2013 a + 3, a \u2013 b + 3<br \/>\n(v) 14x + 10y \u2013 12xy \u2013 13, 18 \u2013 7x \u2013 10y + 8xy, 4xy<br \/>\n(vi) 5m \u2013 7n, 3n \u2013 4m + 2, 2m \u2013 3mn \u2013 5<br \/>\n(vii) 4x<sup>2<\/sup>y, -3xy<sup>2<\/sup>, -5xy<sup>2<\/sup>, 5x<sup>2<\/sup>y<br \/>\n(viii) 3p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 4pq + 5, -10p<sup>2<\/sup>q<sup>2<\/sup>, 15 + 9pq + 7p<sup>2<\/sup>q<sup>2<\/sup><br \/>\n(ix) ab \u2013 4a, 4b \u2013 ab, 4a \u2013 4b<br \/>\n(x) x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0\u2013 1, y<sup>2<\/sup>\u00a0\u2013 1 \u2013 x<sup>2<\/sup>, 1 \u2013 x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup><br \/>\n<\/strong><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) 3mn, \u2013 5mn, 8mn, \u2013 4mn<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 3mn + (-5mn) + 8mn + (- 4mn)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3mn \u2013 5mn + 8mn \u2013 4mn<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= mn(3 \u2013 5 + 8 \u2013 4)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= mn(11 \u2013 9)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= mn(2)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 2mn<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) t \u2013 8tz, 3tz \u2013 z, z \u2013 t<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= t \u2013 8tz + (3tz \u2013 z) + (z \u2013 t)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= t \u2013 8tz + 3tz \u2013 z + z \u2013 t<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= t \u2013 t \u2013 8tz + 3tz \u2013 z + z<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= t (1 \u2013 1) + tz (- 8 + 3) + z (-1 + 1)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= t(0) + tz(- 5) + z(0)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= \u2013 5tz<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) \u2013 7mn + 5, 12mn + 2, 9mn \u2013 8, \u2013 2mn \u2013 3<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= \u2013 7mn + 5 + 12mn + 2 + (9mn \u2013 8) + (- 2mn \u2013 3)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= \u2013 7mn + 5 + 12mn + 2 + 9mn \u2013 8 \u2013 2mn \u2013 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= \u2013 7mn + 12mn + 9mn \u2013 2mn + 5 + 2 \u2013 8 \u2013 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= mn(-7 + 12 + 9 \u2013 2) + (5 + 2 \u2013 8 \u2013 3)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= mn(- 9 + 21) + (7 \u2013 11)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= mn(12) \u2013 4<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 12mn \u2013 4<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) a + b \u2013 3, b \u2013 a + 3, a \u2013 b + 3<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= a + b \u2013 3 + (b \u2013 a + 3) + (a \u2013 b + 3)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a + b \u2013 3 + b \u2013 a + 3 + a \u2013 b + 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a \u2013 a + a + b + b \u2013 b \u2013 3 + 3 + 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a(1 \u2013 1 + 1) + b(1 + 1 \u2013 1) + (-3 + 3 + 3)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a(2 -1) + b(2 -1) + (-3 + 6)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a(1) + b(1) + (3)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a + b + 3<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v) 14x + 10y \u2013 12xy \u2013 13, 18 \u2013 7x \u2013 10y + 8xy, 4xy<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 14x + 10y \u2013 12xy \u2013 13 + (18 \u2013 7x \u2013 10y + 8xy) + 4xy<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 14x + 10y \u2013 12xy \u2013 13 + 18 \u2013 7x \u2013 10y + 8xy + 4xy<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 14x \u2013 7x + 10y\u2013 10y \u2013 12xy + 8xy + 4xy \u2013 13 + 18<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x(14 \u2013 7) + y(10 \u2013 10) + xy(-12 + 8 + 4) + (-13 + 18)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x(7) + y(0) + xy(0) + (5)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 7x + 5<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(vi) 5m \u2013 7n, 3n \u2013 4m + 2, 2m \u2013 3mn \u2013 5<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 5m \u2013 7n + (3n \u2013 4m + 2) + (2m \u2013 3mn \u2013 5)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5m \u2013 7n + 3n \u2013 4m + 2 + 2m \u2013 3mn \u2013 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5m \u2013 4m + 2m \u2013 7n + 3n \u2013 3mn + 2 \u2013 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= m(5 \u2013 4 + 2) + n(-7 + 3) \u2013 3mn + (2 \u2013 5)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= m(3) + n(-4) \u2013 3mn + (-3)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3m \u2013 4n \u2013 3mn \u2013 3<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(vii) 4x<sup>2<\/sup>y, \u2013 3xy<sup>2<\/sup>, \u20135xy<sup>2<\/sup>, 5x<sup>2<\/sup>y<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 4x<sup>2<\/sup>y + (-3xy<sup>2<\/sup>) + (-5xy<sup>2<\/sup>) + 5x<sup>2<\/sup>y<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 4x<sup>2<\/sup>y + 5x<sup>2<\/sup>y \u2013 3xy<sup>2<\/sup>\u00a0\u2013 5xy<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>y(4 + 5) + xy<sup>2<\/sup>(-3 \u2013 5)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>y(9) + xy<sup>2<\/sup>(- 8)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 9x<sup>2<\/sup>y \u2013 8xy<sup>2<\/sup><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(viii) 3p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 4pq + 5, \u2013 10 p<sup>2<\/sup>q<sup>2<\/sup>, 15 + 9pq + 7p<sup>2<\/sup>q<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 3p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 4pq + 5 + (- 10p<sup>2<\/sup>q<sup>2<\/sup>) + 15 + 9pq + 7p<sup>2<\/sup>q<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 3p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 10p<sup>2<\/sup>q<sup>2<\/sup>\u00a0+ 7p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 4pq + 9pq + 5 + 15<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= p<sup>2<\/sup>q<sup>2<\/sup>(3 -10 + 7) + pq(-4 + 9) + (5 + 15)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= p<sup>2<\/sup>q<sup>2<\/sup>(0) + pq(5) + 20<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5pq + 20<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ix) ab \u2013 4a, 4b \u2013 ab, 4a \u2013 4b<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= ab \u2013 4a + (4b \u2013 ab) + (4a \u2013 4b)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= ab \u2013 4a + 4b \u2013 ab + 4a \u2013 4b<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= ab \u2013 ab \u2013 4a + 4a + 4b \u2013 4b<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= ab(1 -1) + a(4 \u2013 4) + b(4 \u2013 4)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= ab(0) + a(0) + b(0)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 0<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(x) x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0\u2013 1, y<sup>2<\/sup>\u00a0\u2013 1 \u2013 x<sup>2<\/sup>, 1 \u2013 x<sup>2<\/sup>\u00a0\u2013 y<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0\u2013 1 + (y<sup>2<\/sup>\u00a0\u2013 1 \u2013 x<sup>2<\/sup>) + (1 \u2013 x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0\u2013 1 + y<sup>2<\/sup>\u00a0\u2013 1 \u2013 x<sup>2<\/sup>\u00a0+ 1 \u2013 x<sup>2<\/sup>\u00a0\u2013 y<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>\u00a0\u2013 x<sup>2<\/sup>\u00a0\u2013 x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0\u2013 y<sup>2\u00a0<\/sup>\u2013 1 \u2013 1 + 1<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>(1 \u2013 1- 1) + y<sup>2<\/sup>(-1 + 1 \u2013 1) + (-1 -1 + 1)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>(1 \u2013 2) + y<sup>2<\/sup>(-2 +1) + (-2 + 1)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>(-1) + y<sup>2<\/sup>(-1) + (-1)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= -x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0-1<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>3. Subtract:<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) \u20135y<sup>2<\/sup>\u00a0from y<sup>2<\/sup><br \/>\n<\/strong><\/span><strong>(ii) 6xy from -12xy<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"><strong>(iii) (a \u2013 b) from (a + b)<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"><strong>(iv) a(b \u2013 5) from b(5 \u2013 a)<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"><strong>(v) -m<sup>2<\/sup>\u00a0+ 5mn from 4m<sup>2<\/sup>\u00a0\u2013 3mn + 8<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"><strong>(vi) -x<sup>2<\/sup>\u00a0+ 10x \u2013 5 from 5x \u2013 10<\/strong><\/span><br \/>\n<span style=\"color: #000000;\"><strong>(vii) 5a<sup>2<\/sup>\u00a0\u2013 7ab + 5b<sup>2<\/sup>\u00a0from 3ab \u2013 2a<sup>2<\/sup>\u00a0\u2013 2b<sup>2<\/sup><\/strong><\/span><br \/>\n<span style=\"color: #000000;\"><strong>(viii) 4pq \u2013 5q<sup>2<\/sup>\u00a0\u2013 3p<sup>2<\/sup>\u00a0from 5p<sup>2<\/sup>\u00a0+ 3q<sup>2<\/sup>\u00a0\u2013 pq<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211; <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(i) \u20135y<sup>2<\/sup>\u00a0from y<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= y<sup>2<\/sup>\u00a0\u2013 (-5y<sup>2<\/sup>)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= y<sup>2<\/sup>\u00a0+ 5y<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 6y<sup>2<\/sup><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(ii) 6xy from \u201312xy<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= -12xy \u2013 6xy<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= \u2013 18xy<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iii) (a \u2013 b) from (a + b)<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= (a + b) \u2013 (a \u2013 b)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a + b \u2013 a + b<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a \u2013 a + b + b<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a(1 \u2013 1) + b(1 + 1)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= a(0) + b(2)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 2b<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(iv) a (b \u2013 5) from b (5 \u2013 a)<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= b (5 -a) \u2013 a (b \u2013 5)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5b \u2013 ab \u2013 ab + 5a<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5b + ab (-1 -1) + 5a<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5a + 5b \u2013 2ab<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(v) \u2013m<sup>2<\/sup>\u00a0+ 5mn from 4m<sup>2<\/sup>\u00a0\u2013 3mn + 8<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 4m<sup>2<\/sup>\u00a0\u2013 3mn + 8 \u2013 (- m<sup>2<\/sup>\u00a0+ 5mn)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 4m<sup>2<\/sup>\u00a0\u2013 3mn + 8 + m<sup>2<\/sup>\u00a0\u2013 5mn<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 4m<sup>2<\/sup>\u00a0+ m<sup>2<\/sup>\u00a0\u2013 3mn \u2013 5mn + 8<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5m<sup>2\u00a0<\/sup>\u2013 8mn + 8<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(vi) \u2013 x<sup>2<\/sup>\u00a0+ 10x \u2013 5 from 5x \u2013 10<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 5x \u2013 10 \u2013 (-x<sup>2<\/sup>\u00a0+ 10x \u2013 5)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5x \u2013 10 + x<sup>2<\/sup>\u00a0\u2013 10x + 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>\u00a0+ 5x \u2013 10x \u2013 10 + 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= x<sup>2<\/sup>\u00a0\u2013 5x \u2013 5<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(vii) 5a<sup>2<\/sup>\u00a0\u2013 7ab + 5b<sup>2<\/sup>\u00a0from 3ab \u2013 2a<sup>2<\/sup>\u00a0\u2013 2b<sup>2<br \/>\n<\/sup><\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 3ab \u2013 2a<sup>2<\/sup>\u00a0\u2013 2b<sup>2<\/sup>\u00a0\u2013 (5a<sup>2<\/sup>\u00a0\u2013 7ab + 5b<sup>2<\/sup>)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3ab \u2013 2a<sup>2<\/sup>\u00a0\u2013 2b<sup>2<\/sup>\u00a0\u2013 5a<sup>2\u00a0<\/sup>+ 7ab \u2013 5b<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 3ab + 7ab \u2013 2a<sup>2<\/sup>\u00a0\u2013 5a<sup>2<\/sup>\u00a0\u2013 2b<sup>2<\/sup>\u00a0\u2013 5b<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 10ab \u2013 7a<sup>2<\/sup>\u00a0\u2013 7b<sup>2<\/sup><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(viii) 4pq \u2013 5q<sup>2<\/sup>\u00a0\u2013 3p<sup>2<\/sup>\u00a0from 5p<sup>2<\/sup>\u00a0+ 3q<sup>2<\/sup>\u00a0\u2013 pq<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">= 5p<sup>2<\/sup>\u00a0+ 3q<sup>2<\/sup>\u00a0\u2013 pq \u2013 (4pq \u2013 5q<sup>2<\/sup>\u00a0\u2013 3p<sup>2<\/sup>)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 5p<sup>2<\/sup>\u00a0+ 3q<sup>2<\/sup>\u00a0\u2013 pq \u2013 4pq + 5q<sup>2<\/sup>\u00a0+ 3p<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 5p<sup>2<\/sup>\u00a0+ 3p<sup>2<\/sup>\u00a0+ 3q<sup>2<\/sup>\u00a0+ 5q<sup>2<\/sup>\u00a0\u2013 pq \u2013 4pq<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 8p<sup>2<\/sup>\u00a0+ 8q<sup>2<\/sup>\u00a0\u2013 5pq<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4.<br \/>\n(a) What should be added to x<sup>2<\/sup>\u00a0+ xy + y<sup>2<\/sup>\u00a0to obtain 2x<sup>2<\/sup>\u00a0+ 3xy?<br \/>\n(b) What should be subtracted from 2a + 8b + 10 to get -3a + 7b + 16?<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">(a) What should be added to x<sup>2<\/sup>\u00a0+ xy + y<sup>2 <\/sup>to obtain 2x<sup>2<\/sup>\u00a0+ 3xy?<br \/>\n<\/span><\/strong><span style=\"font-family: georgia, palatino, serif;\">Let us assume A be the required term<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Then,<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">A + (x<sup>2<\/sup>\u00a0+ xy + y<sup>2<\/sup>) = 2x<sup>2<\/sup>\u00a0+ 3xy<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">A = (2x<sup>2<\/sup>\u00a0+ 3xy) \u2013 (x<sup>2<\/sup>\u00a0+ xy + y<sup>2<\/sup>)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">A = 2x<sup>2<\/sup>\u00a0+ 3xy \u2013 x<sup>2<\/sup>\u00a0\u2013 xy \u2013 y<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">A = 2x<sup>2<\/sup>\u00a0\u2013 x<sup>2<\/sup>\u00a0+ 3xy \u2013 xy \u2013 y<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">A = x<sup>2<\/sup>\u00a0+ 2xy \u2013 y<sup>2<\/sup><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(b) What should be subtracted from 2a + 8b + 10 to get \u2013 3a + 7b + 16?<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Let us assume X be the required term<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">2a + 8b + 10 \u2013 X = -3a + 7b + 16<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">X = (2a + 8b + 10) \u2013 (-3a + 7b + 16)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">X = 2a + 8b + 10 + 3a \u2013 7b \u2013 16<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">X = 2a + 3a + 8b \u2013 7b + 10 \u2013 16<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">X = 5a + b \u2013 6<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. What should be taken away from 3x<sup>2<\/sup>\u00a0\u2013 4y<sup>2<\/sup>\u00a0+ 5xy + 20 to obtain \u2013 x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0+ 6xy + 20?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">Let us assume P be the required term<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Then,<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">3x<sup>2<\/sup>\u00a0\u2013 4y<sup>2<\/sup> + 5xy + 20 \u2013 P = -x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0+ 6xy + 20<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">P = 3x<sup>2<\/sup>\u00a0\u2013 4y<sup>2<\/sup>\u00a0+ 5xy + 20 \u2013 (-x<sup>2<\/sup>\u00a0\u2013 y<sup>2<\/sup>\u00a0+ 6xy + 20)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">P = 3x<sup>2<\/sup>\u00a0\u2013 4y<sup>2<\/sup>\u00a0+ 5xy + 20 + x<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0\u2013 6xy \u2013 20<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">P = 3x<sup>2<\/sup>\u00a0+ x<sup>2<\/sup>\u00a0\u2013 4y<sup>2<\/sup>\u00a0+ y<sup>2<\/sup>\u00a0+ 5xy \u2013 6xy + 20 \u2013 20<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">p = 4x<sup>2<\/sup>\u00a0\u2013 3y<sup>2<\/sup>\u00a0\u2013 xy<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6.<br \/>\n(a) From the sum of 3x \u2013 y + 11 and \u2013 y \u2013 11, subtract 3x \u2013 y \u2013 11.<br \/>\n(b) From the sum of 4 + 3x and 5 \u2013 4x + 2x<sup>2<\/sup>, subtract the sum of 3x<sup>2<\/sup>\u00a0\u2013 5x and -x<sup>2<\/sup>\u00a0+ 2x + 5.<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">(a) From the sum of 3x \u2013 y + 11 and -y \u2013 11, subtract 3x \u2013 y \u2013 11.<br \/>\n<\/span><\/strong><span style=\"font-family: georgia, palatino, serif;\">First we have to find out the sum of 3x \u2013 y + 11 and \u2013 y \u2013 11<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x \u2013 y + 11 + (-y \u2013 11)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x \u2013 y + 11 \u2013 y \u2013 11<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x \u2013 y \u2013 y + 11 \u2013 11<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x \u2013 2y<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Now, subtract 3x \u2013 y \u2013 11 from 3x \u2013 2y<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x \u2013 2y \u2013 (3x \u2013 y \u2013 11)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x \u2013 2y \u2013 3x + y + 11<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x \u2013 3x \u2013 2y + y + 11<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= -y + 11<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-family: georgia, palatino, serif;\"><strong>(b) From the sum of 4 + 3x and 5 \u2013 4x + 2x<sup>2<\/sup>, subtract the sum of 3x<sup>2<\/sup> \u2013 5x and\u00a0<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\"><strong>\u2013x<sup>2<\/sup>\u00a0+ 2x + 5.<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif;\">First we have to find out the sum of 4 + 3x and 5 \u2013 4x + 2x<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 4 + 3x + (5 \u2013 4x + 2x<sup>2<\/sup>)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 4 + 3x + 5 \u2013 4x + 2x<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 4 + 5 + 3x \u2013 4x + 2x<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 9 \u2013 x + 2x<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif;\">= 2x<sup>2<\/sup> \u2013 x + 9\u00a0 \u00a0&#8212;&#8212;&#8212;&#8212;-[equation 1]<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Then, we have to find out the sum of 3x<sup>2<\/sup>\u00a0\u2013 5x and \u2013 x<sup>2<\/sup>\u00a0+ 2x + 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x<sup>2<\/sup>\u00a0\u2013 5x + (-x<sup>2<\/sup>\u00a0+ 2x + 5)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x<sup>2<\/sup>\u00a0\u2013 5x \u2013 x<sup>2<\/sup>\u00a0+ 2x + 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 3x<sup>2<\/sup>\u00a0\u2013 x<sup>2<\/sup>\u00a0\u2013 5x + 2x + 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 2x<sup>2<\/sup> \u2013 3x + 5\u00a0 &#8212;&#8212;&#8212;&#8212;&#8212;&#8211; [equation 2]<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">Now, we have to subtract equation (2) from equation (1)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 2x<sup>2\u00a0<\/sup>\u2013 x + 9 \u2013 (2x<sup>2<\/sup>\u00a0\u2013 3x + 5)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 2x<sup>2<\/sup>\u00a0\u2013 x + 9 \u2013 2x<sup>2<\/sup>\u00a0+ 3x \u2013 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 2x<sup>2<\/sup>\u00a0\u2013 2x<sup>2<\/sup>\u00a0\u2013 x + 3x + 9 \u2013 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif;\">= 2x + 4<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 12 (Algebraic Expressions) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 12 Algebraic Expressions\u00a0 Exercise 12.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 12 Algebraic Expressions NCERT Solution Class 7 Maths Exercise &#8211; 12.1 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