{"id":3274,"date":"2022-12-09T06:10:25","date_gmt":"2022-12-09T06:10:25","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3274"},"modified":"2023-01-31T06:53:01","modified_gmt":"2023-01-31T06:53:01","slug":"ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-1\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 9 (Algebraic Expressions and Identities)\u00a0<\/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 8 Mathematics <strong>Chapter &#8211; 9 Algebraic Expressions and Identities <\/strong>Exercise 9.1 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 9: Algebraic Expressions and Identities<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 9.2<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 9.3<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 9.4<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-9-algebraic-expressions-and-identities-ex-9-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 9.5<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 9.1\u00a0<\/span><\/h2>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>1. Identify the terms, their coefficients for each of the following expressions.<br \/>\n(i)\u00a0<\/strong>5xyz<sup>2<\/sup>\u00a0\u2013 3zy\u00a0<strong><br \/>\n(ii)\u00a0<\/strong>1 +\u00a0x\u00a0+\u00a0x<sup>2<\/sup><strong><sup><br \/>\n<\/sup>(iii)\u00a0<\/strong>4x<sup>2<\/sup>y<sup>2<\/sup>\u00a0\u2013 4x<sup>2<\/sup>y<sup>2<\/sup>z<sup>2<\/sup>\u00a0+ z<sup>2<\/sup><strong><br \/>\n(iv)\u00a0<\/strong>3 \u2013 pq + qr \u2013 p<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(v) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{x}{2}+\\frac{y}{2}\" alt=\"\\frac{x}{2}+\\frac{y}{2}\" align=\"absmiddle\" \/> <\/strong> \u2013 xy<br \/>\n<strong>(vi)\u00a0<\/strong>0.3a \u2013 0.6ab + 0.5b<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Sl. No.<\/span><\/strong><\/td>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Expression<\/span><\/strong><\/td>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Term<\/span><\/strong><\/td>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Coefficient<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(i)<\/span><\/strong><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">5xyz<sup>2<\/sup>\u00a0\u2013 3zy<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">5xyz<sup>2<\/sup>, <\/span>-3zy<\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">5, -3<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(ii)<\/span><\/strong><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">1 +\u00a0x\u00a0+\u00a0x<sup>2<\/sup><\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">1, <\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">x, <\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">x<sup>2<\/sup><\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">1, 1, 1<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iii)<\/span><\/strong><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">4x<sup>2<\/sup>y<sup>2<\/sup>\u00a0\u2013 4x<sup>2<\/sup>y<sup>2<\/sup>z<sup>2<\/sup>\u00a0+ z<sup>2<\/sup><\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">4x<sup>2<\/sup>y<sup>2<\/sup>, <\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">-4 x<sup>2<\/sup>y<sup>2<\/sup>z<sup>2<\/sup><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">, z<sup>2<\/sup><\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">4, -4, 1<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iv)<\/span><\/strong><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3 \u2013 pq + qr \u2013 p<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3 -pq, qr -p<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3, -1, 1, -1<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(v)<\/span><\/strong><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{x}{2}+\\frac{y}{2}\" alt=\"\\frac{x}{2}+\\frac{y}{2}\" align=\"absmiddle\" \/><\/strong> \u2013 xy<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{x}{2}\" alt=\"\\frac{x}{2}\" align=\"absmiddle\" \/>, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{y}{2}\" alt=\"\\frac{y}{2}\" align=\"absmiddle\" \/>, -xy<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2},\" alt=\"\\frac{1}{2},\" align=\"absmiddle\" \/> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2},\" alt=\"\\frac{1}{2},\" align=\"absmiddle\" \/>\u00a0-1<\/span><\/td>\n<\/tr>\n<tr>\n<td><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(vi)<\/span><\/strong><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">0.3a \u2013 0.6ab + 0.5b<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">0.3a, -0.6ab, 0.5b<\/span><\/td>\n<td><span style=\"font-family: georgia, palatino, serif; color: #000000;\">0.3, -0.6, 0.5<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>2. Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?<br \/>\n<\/strong>x + y, 1000, x + x<sup>2<\/sup>\u00a0+ x<sup>3<\/sup>\u00a0+ x<sup>4<\/sup>\u00a0, 7 + y + 5x, 2y \u2013 3y<sup>2<\/sup>\u00a0, 2y \u2013 3y<sup>2<\/sup>\u00a0+ 4y<sup>3<\/sup>\u00a0, 5x \u2013 4y + 3xy, 4z \u2013 15z<sup>2<\/sup>\u00a0, ab + bc + cd + da, pqr, p<sup>2<\/sup>q + pq<sup>2<\/sup>\u00a0, 2p + 2q<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solution &#8211;\u00a0<\/strong><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Let us first define the classifications of these 3 polynomials:<\/span><\/p>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Monomials<\/strong> contain only one term.<\/span><\/li>\n<li><strong style=\"color: #000000; font-family: georgia, palatino, serif;\">Binomials<\/strong><span style=\"color: #000000; font-family: georgia, palatino, serif;\"> contain only two terms.<\/span><\/li>\n<li><strong style=\"color: #000000; font-family: georgia, palatino, serif;\">Trinomials<\/strong><span style=\"color: #000000; font-family: georgia, palatino, serif;\"> contain only three terms.<\/span><\/li>\n<\/ul>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 25%;\"><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Binomial<\/span><\/strong><\/td>\n<td style=\"width: 25%;\"><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Monomial<\/span><\/strong><\/td>\n<td style=\"width: 25%;\"><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Trinomial<\/span><\/strong><\/td>\n<td style=\"width: 25%;\"><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">Polynomial<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">x + y<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">1000<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2y \u2013 3y<sup>2<\/sup>\u00a0+ 4y<sup>3<\/sup><\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">x + x<sup>2<\/sup>\u00a0+ x<sup>3<\/sup>\u00a0+ x<sup>4<\/sup><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2y \u2013 3y<sup>2<\/sup><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><br \/>\n<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">pqr<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">5x \u2013 4y + 3xy<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">ab + bc + cd + da<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">4z \u2013 15z<sup>2<\/sup><\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">\u00a0<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">7 + y + 5x<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">p<sup>2<\/sup>q + pq<sup>2<\/sup><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><br \/>\n<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">\u00a0<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">\u00a0<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">\u00a0<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">2p + 2q<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><br \/>\n<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">\u00a0<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">\u00a0<\/span><\/td>\n<td style=\"width: 25%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">\u00a0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"table-responsive\">\n<p><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">3. \u00a0Add the following.<br \/>\n<\/span><\/strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(i)<\/strong> ab \u2013 bc, bc \u2013 ca, ca \u2013 ab<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(ii)\u00a0<\/strong>a \u2013 b + ab, b \u2013 c + bc, c \u2013 a + ac<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(iii)\u00a0<\/strong>2p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 3pq + 4, 5 + 7pq \u2013 3p<sup>2<\/sup>q<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(iv)\u00a0<\/strong>l<sup>2<\/sup>\u00a0+ m<sup>2<\/sup>, m<sup>2<\/sup>\u00a0+ n<sup>2<\/sup>, n<sup>2<\/sup>\u00a0+ l<sup>2<\/sup>, 2lm + 2mn + 2nl<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(i) ab \u2013 bc, bc \u2013 ca, ca \u2013 ab<br \/>\n<\/strong><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= (ab \u2013 bc) + (bc \u2013 ca) + (ca-ab)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= ab \u2013 bc + bc \u2013 ca + ca \u2013 ab<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= ab \u2013 ab \u2013 bc + bc \u2013 ca + ca<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 0<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(ii) a \u2013 b + ab, b \u2013 c + bc, c \u2013 a + ac<br \/>\n=\u00a0 <\/strong><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a \u2013 b + ab) + (b \u2013 c + bc) + (c \u2013 a + ac)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= a \u2013 b + ab + b \u2013 c + bc + c \u2013 a + ac<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= a \u2013 a +b \u2013 b +c \u2013 c + ab + bc + ca<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 0 + 0 + 0 + ab + bc + ca<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= ab + bc + ca<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(iii)\u00a02p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 3pq + 4, 5 + 7pq \u2013 3p<sup>2<\/sup>q<\/strong><sup><strong>2<br \/>\n<\/strong><\/sup><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 2p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 3pq + 4, 5 + 7pq \u2013 3p<sup>2<\/sup>q<sup>2<br \/>\n<\/sup><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= (2p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 3pq + 4) + (5 + 7pq \u2013 3p<sup>2<\/sup>q<sup>2<\/sup>)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 2p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 3p<sup>2<\/sup>q<sup>2<\/sup>\u00a0\u2013 3pq + 7pq + 4 + 5<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= \u2013 p<sup>2<\/sup>q<sup>2<\/sup>\u00a0+ 4pq + 9<\/span><\/p>\n<p><strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(iv)\u00a0l<sup>2<\/sup>\u00a0+ m<sup>2<\/sup>, m<sup>2<\/sup>\u00a0+ n<sup>2<\/sup>, n<sup>2<\/sup>\u00a0+ l<sup>2<\/sup>, 2lm + 2mn + 2nl<br \/>\n=\u00a0 <\/span><\/strong><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(l<sup>2<\/sup>\u00a0+ m<sup>2<\/sup>) + (m<sup>2<\/sup>\u00a0+ n<sup>2<\/sup>) + (n<sup>2<\/sup>\u00a0+ l<sup>2<\/sup>) + (2lm + 2mn + 2nl)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">=\u00a0l<sup>2<\/sup>\u00a0+ l<sup>2<\/sup>\u00a0+ m<sup>2<\/sup>\u00a0+ m<sup>2<\/sup>\u00a0+ n<sup>2<\/sup>\u00a0+ n<sup>2<\/sup>\u00a0+ 2lm + 2mn + 2nl<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">=\u00a02l<sup>2<\/sup>\u00a0+ 2m<sup>2<\/sup>\u00a0+ 2n<sup>2<\/sup>\u00a0+ 2lm + 2mn + 2nl<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>4.<br \/>\n(a)<\/strong> Subtract\u00a04a \u2013 7ab + 3b + 12\u00a0from\u00a012a \u2013 9ab + 5b \u2013 3<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b)<\/strong> Subtract\u00a03xy + 5yz \u2013 7zx\u00a0from\u00a05xy \u2013 2yz \u2013 2zx + 10xyz<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(c)<\/strong> Subtract\u00a04p<sup>2<\/sup>q \u2013 3pq + 5pq<sup>2<\/sup>\u00a0\u2013 8p + 7q \u2013 10\u00a0from\u00a018 \u2013 3p \u2013 11q + 5pq \u2013 2pq<sup>2<\/sup>\u00a0+ 5p<sup>2<\/sup>q<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(a) Subtract 4a \u2013 7ab + 3b + 12 from 12a \u2013 9ab + 5b \u2013 3<br \/>\n= <\/strong><\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(12a \u2013 9ab + 5b \u2013 3) \u2013 (4a \u2013 7ab + 3b + 12)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 12a \u2013 9ab + 5b \u2013 3 \u2013 4a + 7ab \u2013 3b \u2013 12<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 12a \u2013 4a -9ab + 7ab +5b \u2013 3b -3 -12<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">=\u00a08a \u2013 2ab + 2b \u2013 15<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b) Subtract\u00a03xy + 5yz \u2013 7zx\u00a0from\u00a05xy \u2013 2yz \u2013 2zx + 10xyz<br \/>\n<\/strong><b>= <\/b>(5xy \u2013 2yz \u2013 2zx + 10xyz) \u2013 (3xy + 5yz \u2013 7zx)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 5xy \u2013 2yz \u2013 2zx + 10xyz \u2013 3xy \u2013 5yz + 7zx<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 5xy \u2013 3xy \u2013 2yz \u2013 5yz \u2013 2zx + 7zx + 10xyz<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 2xy \u2013 7yz + 5zx + 10xyz<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(c) Subtract\u00a04p<sup>2<\/sup>q \u2013 3pq + 5pq<sup>2<\/sup>\u00a0\u2013 8p + 7q \u2013 10\u00a0from\u00a018 \u2013 3p \u2013 11q + 5pq \u2013 2pq<sup>2<\/sup>\u00a0+ 5p<sup>2<\/sup>q<br \/>\n<\/strong><b>= <\/b>(18 \u2013 3p \u2013 11q + 5pq \u2013 2pq<sup>2<\/sup>\u00a0+ 5p<sup>2<\/sup>q) \u2013 (4p<sup>2<\/sup>q \u2013 3pq + 5pq<sup>2<\/sup>\u00a0\u2013 8p + 7q \u2013 10)<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 18 \u2013 3p \u2013 11q + 5pq \u2013 2pq<sup>2<\/sup>\u00a0+ 5p<sup>2<\/sup>q \u2013 4p<sup>2<\/sup>q + 3pq \u2013 5pq<sup>2<\/sup>\u00a0+ 8p \u2013 7q + 10<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 18 + 10 &#8211; 3p + 8p &#8211; 11q \u2013 7q + 5pq+ 3pq- 2pq<sup>2<\/sup> \u2013 5pq<sup>2<\/sup> + 5p<sup>2<\/sup>q \u2013 4p<sup>2<\/sup>q<br \/>\n<\/span><span style=\"font-family: georgia, palatino, serif; color: #000000;\">= 28 + 5p \u2013 18q + 8pq \u2013 7pq<sup>2<\/sup>\u00a0+ p<sup>2<\/sup>q<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 9 (Algebraic Expressions and Identities)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 9 Algebraic Expressions and Identities Exercise 9.1 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 9: Algebraic Expressions and Identities NCERT Solution Class [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[460,461,445,5],"class_list":["post-3274","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-9-algebraic-expressions-and-identities-in-english","tag-ncert-solutions-class-8-maths-chapter-9-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - 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