{"id":3413,"date":"2022-12-14T14:44:15","date_gmt":"2022-12-14T14:44:15","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3413"},"modified":"2023-01-31T06:50:13","modified_gmt":"2023-01-31T06:50:13","slug":"ncert-solutions-class-8-maths-chapter-14-factorisation-ex-14-4","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-14-factorisation-ex-14-4\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 14 Factorisation Ex 14.4"},"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; 14 (Factorisation)\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; 14 Factorisation\u00a0 <\/strong>Exercise 14.4 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 14: Factorisation<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-14-factorisation-ex-14-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 14.1<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-14-factorisation-ex-14-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 14.2<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-14-factorisation-ex-14-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 14.3<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 14.4<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Find and correct the errors in the following mathematical statements.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. 4(x\u20135) = 4x\u20135<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>4(x\u20135) = 4x\u20135<br \/>\n\u21d2 4x \u2013 20 \u2260 4x \u2013 5<br \/>\nThus, LHS \u2260 RHS<\/span><br \/>\n<span style=\"color: #000000;\">The correct statement is 4(x &#8211; 5) = 4x &#8211; 20<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. x(3x+2) = 3x<sup>2<\/sup>+2<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>x(3x+2)<br \/>\n\u21d2 3x<sup>2<\/sup>+2x \u2260 3x<sup>2<\/sup>+2<br \/>\nThus, L.H.S \u2260 R.H.S.<\/span><br \/>\n<span style=\"color: #000000;\">The correct solution is x(3x+2) = 3x<sup>2<\/sup>+2x<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. 2x+3y = 5xy<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>2x+3y \u2260 5xy<br \/>\nThus, L.H.S \u2260 R.H.S.<br \/>\nThe correct statement is 2x + 3y = 2x + 3y<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. x+2x+3x = 5x<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>x + 2x + 3x<br \/>\n\u21d2 6x \u2260 5x<br \/>\nThus, L.H.S \u2260 R.H.S.<br \/>\nThe correct statement is x + 2x + 3x = 6x<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. 5y+2y+y\u20137y = 0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>5y+2y+y\u20137y<br \/>\n= y \u2260 0<br \/>\nThus, L.H.S \u2260 R.H.S.<br \/>\nThe correct statement is 5y+2y+y\u20137y = y<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. 3x+2x = 5x<sup>2<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>3x + 2x<br \/>\n\u21d2 5x \u2260 5x<sup>2<br \/>\n<\/sup>Thus, L.H.S \u2260 R.H.S.<br \/>\nThe correct statement is 3x+2x = 5x<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7. (2x)<sup>\u00a02<\/sup>+4(2x)+7 = 2x<sup>2<\/sup>+8x+7<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>(2x)<sup>\u00a02<\/sup>+4(2x) + 7<br \/>\n\u21d2 4x<sup>2 <\/sup>+ 8x + 7 \u2260 2x<sup>2<\/sup>+8x+7<br \/>\nThus, L.H.S \u2260 R.H.S.<br \/>\nThe correct statement is (2x)<sup>\u00a02<\/sup>+4(2x)+7 = 4x<sup>2<\/sup>+8x+7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>8. (2x)<sup>2\u00a0<\/sup>+ 5x = 4x+5x = 9x<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>(2x)<sup> 2\u00a0<\/sup>+ 5x<br \/>\n\u21d2 4x<sup>2 <\/sup>+ 5x \u2260 9x<br \/>\nThus, L.H.S \u2260 R.H.S.<br \/>\nThe correct statement is(2x)<sup>\u00a02<\/sup>+5x = 4x<sup>2<\/sup>+5x<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>9. (3x + 2)<sup>2<\/sup>\u00a0= 3x<sup>2 <\/sup>+ 6x + 4<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>(3x+2)<sup>\u00a02<\/sup><br \/>\n= (3x)<sup>2 <\/sup>+ 2<sup>2 <\/sup>+ 2 \u00d7 2 \u00d7 3x<br \/>\n= 9x<sup>2 <\/sup>+ 4 + 12x \u2260 3x<sup>2 <\/sup>+ 6x + 4<br \/>\nThus, L.H.S \u2260 R.H.S.<br \/>\nThe correct statement is (3x + 2)<sup>2<\/sup>\u00a0= 9x<sup>2<\/sup>+4+12x<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>10. Substituting x = \u2013 3 in<br \/>\n<\/strong><strong>(a)<\/strong> x<sup>2<\/sup> + 5x + 4 gives (\u2013 3)<sup>2<\/sup>+5(\u2013 3)+4 = 9+2+4 = 15<br \/>\n<strong>(b)<\/strong> x<sup>2<\/sup> \u2013 5x + 4 gives (\u2013 3)<sup>2<\/sup>\u2013 5( \u2013 3)+4 = 9\u201315+4 = \u2013 2<br \/>\n<strong>(c)<\/strong> x<sup>2<\/sup> + 5x gives (\u2013 3)<sup>2 <\/sup>+ 5(\u20133) = \u2013 9\u201315 = \u2013 24<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(a) x<sup>2<\/sup> + 5x + 4 gives (\u2013 3)<sup>2 <\/sup>+ 5(\u20133) + 4 = 9+2+4 = 15<br \/>\n<\/strong>Substituting x = \u2013 3 in x<sup>2<\/sup>+5x+4, we have<br \/>\nx<sup>2<\/sup>+ 5x + 4<br \/>\n= (\u2013 3)<sup> 2\u00a0<\/sup>+ 5(\u2013 3) + 4<br \/>\n= 9 \u2013 15 + 4<br \/>\n= \u2013 2.<br \/>\nThis is the correct answer.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) x<sup>2<\/sup>\u00a0\u2013 5x + 4 gives (\u2013 3)<sup>\u00a02<\/sup>\u2013 5( \u2013 3)+4 = 9\u201315+4 = \u2013 2<\/strong><br \/>\nSubstituting x = \u2013 3 in x<sup>2<\/sup>\u20135x+4<br \/>\nx<sup>2<\/sup>\u20135x+4<br \/>\n= (\u20133)<sup>2 <\/sup>\u2013 5(\u20133) + 4<br \/>\n= 9 + 15 + 4<br \/>\n= 28.<br \/>\nThis is the correct answer<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(c) x<sup>2<\/sup>\u00a0+ 5x gives (\u2013 3)<sup>\u00a02<\/sup>+5(\u20133) = \u2013 9\u201315 = \u2013 24<br \/>\n<\/strong>Substituting x = \u2013 3 in x<sup>2<\/sup>+5x<br \/>\nx<sup>2 <\/sup>+ 5x<br \/>\n= (\u2013 3)<sup>2 <\/sup>+ 5(\u20133)<br \/>\n= 9 \u2013 15<br \/>\n= -6.<br \/>\nThis is the correct answer<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>11. (y\u20133)<sup>2<\/sup>\u00a0= y<sup>2<\/sup>\u20139<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = (y\u20133)<sup>2<br \/>\n<\/sup>\u21d2 y<sup>2 <\/sup>+ (3)<sup> 2\u00a0<\/sup>\u2013 2y \u00d7 3<br \/>\n\u21d2 y<sup>2 <\/sup>+ 9 \u2013 6y \u2260 y<sup>2<\/sup>\u00a0\u2013 9<br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is (y\u20133)<sup>2<\/sup>\u00a0= y<sup>2<\/sup>\u00a0+ 9 \u2013 6y<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>12. (z+5)<sup>\u00a02<\/sup>\u00a0= z<sup>2<\/sup>+25<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = (z+5)<sup>2<\/sup><br \/>\n(z + 5)<sup>\u00a02<\/sup><br \/>\n\u21d2 z<sup>2 <\/sup>+ 5<sup>2 <\/sup>+ 2\u00d75\u00d7z<br \/>\n\u21d2 z<sup>2 <\/sup>+ 25 + 10z \u2260 z<sup>2 <\/sup>+ 25<br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is (z+5)<sup>\u00a02<\/sup>\u00a0= z<sup>2<\/sup>+25+10z<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>13. (2a+3b)(a\u2013b) = 2a<sup>2<\/sup>\u20133b<sup>2<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = (2a + 3b)(a \u2013 b)<br \/>\n\u21d2 2a(a\u2013b) + 3b(a\u2013b)<br \/>\n\u21d2 2a<sup>2 <\/sup>\u2013 2ab + 3ab \u2013 3b<sup>2<br \/>\n<\/sup>\u21d2 2a<sup>2 <\/sup>+ ab \u2013 3b<sup>2 <\/sup>\u2260 2a<sup>2<\/sup>\u20133b<sup>2<\/sup>\u00a0=<br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is (2a + 3b)(a \u2013 b) = 2a<sup>2 <\/sup>+ ab \u2013 3b<sup>2<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>14. (a+4)(a+2) = a<sup>2<\/sup>+8<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = (a + 4)(a + 2)<br \/>\n\u21d2 a(a+2) + 4(a+2)<br \/>\n\u21d2 a<sup>2 <\/sup>+ 2a + 4a + 8<br \/>\n\u21d2 a<sup>2 <\/sup>+ 6a + 8 \u2260 a<sup>2<\/sup>+8<br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is (a + 4)(a + 2) = a<sup>2 <\/sup>+ 6a + 8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>15. (a\u20134)(a\u20132) = a<sup>2<\/sup>\u20138<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = (a \u2013 4)(a \u2013 2)<br \/>\n\u21d2 a(a\u20132) \u20134(a\u20132)<br \/>\n\u21d2 a<sup>2 <\/sup>\u2013 2a \u2013 4a + 8<br \/>\n\u21d2 a<sup>2 <\/sup>\u2013 6a + 8 \u2260 a<sup>2 <\/sup>&#8211; 8<br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is (a\u20134)(a\u20132) = a<sup>2<\/sup>\u20136a+8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>16. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3x^2}{3x^2}&amp;space;=&amp;space;0}\" alt=\"\\mathbf{\\frac{3x^2}{3x^2} = 0}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x^2}{3x^2}\" alt=\"\\frac{3x^2}{3x^2}\" align=\"absmiddle\" \/><br \/>\n\u21d2 1 \u2260 0<br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x^2}{3x^2}\" alt=\"\\frac{3x^2}{3x^2}\" align=\"absmiddle\" \/> = 1<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>17.<\/strong> <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{(3x^2+1)}{3x^2}}\" alt=\"\\mathbf{\\frac{(3x^2+1)}{3x^2}}\" align=\"absmiddle\" \/><strong>\u00a0= 1 + 1 = 2<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(3x^2+1)}{3x^2}\" alt=\"\\frac{(3x^2+1)}{3x^2}\" align=\"absmiddle\" \/>\u00a0 <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x^2}{3x^2}\" alt=\"\\frac{3x^2}{3x^2}\" align=\"absmiddle\" \/> + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{3x^2}\" alt=\"\\frac{1}{3x^2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 1 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{3x^2}\" alt=\"\\frac{1}{3x^2}\" align=\"absmiddle\" \/>\u00a0\u2260 2<br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(3x^2+1)}{3x^2}\" alt=\"\\frac{(3x^2+1)}{3x^2}\" align=\"absmiddle\" \/> = 1 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{3x^2}\" alt=\"\\frac{1}{3x^2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>18. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3x}{(3x+2)}&amp;space;=&amp;space;\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{3x}{(3x+2)} = \\frac{1}{2}}\" align=\"absmiddle\" \/> <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x}{(3x+2)}\" alt=\"\\frac{3x}{(3x+2)}\" align=\"absmiddle\" \/> \u00a0\u2260 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/><br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x}{(3x+2)}\" alt=\"\\frac{3x}{(3x+2)}\" align=\"absmiddle\" \/><strong> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x}{(3x+2)}\" alt=\"\\frac{3x}{(3x+2)}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>19. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{(4x+3)}&amp;space;=&amp;space;\\frac{1}{4x}}\" alt=\"\\mathbf{\\frac{3}{(4x+3)} = \\frac{1}{4x}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{(4x+3)}\" alt=\"\\frac{3}{(4x+3)}\" align=\"absmiddle\" \/> \u2260 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4x}\" alt=\"\\frac{1}{4x}\" align=\"absmiddle\" \/><br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{(4x+3)}\" alt=\"\\frac{3}{(4x+3)}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{(4x+3)}\" alt=\"\\frac{3}{(4x+3)}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>20. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{(4x+5)}{4x}&amp;space;=&amp;space;5}\" alt=\"\\mathbf{\\frac{(4x+5)}{4x} = 5}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>LHS = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(4x+5)}{4x}\" alt=\"\\frac{(4x+5)}{4x}\" align=\"absmiddle\" \/><br \/>\n\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4x}{4x}&amp;space;+\\frac{5}{4x}\" alt=\"\\frac{4x}{4x} +\\frac{5}{4x}\" align=\"absmiddle\" \/>\u00a0 \u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 1 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{4x}\" alt=\"\\frac{5}{4x}\" align=\"absmiddle\" \/> \u2260 5 <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Thus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{(4x+5)}{4x}\" alt=\"\\frac{(4x+5)}{4x}\" align=\"absmiddle\" \/> = 1 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{4x}\" alt=\"\\frac{5}{4x}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>21. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7x&amp;space;+5}{5}&amp;space;=&amp;space;7x}\" alt=\"\\mathbf{\\frac{7x +5}{5} = 7x}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">LHS = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7x&amp;space;+5}{5}\" alt=\"\\frac{7x +5}{5}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7x}{5}&amp;space;+&amp;space;\\frac{5}{5}\" alt=\"\\frac{7x}{5} + \\frac{5}{5}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">\u21d2 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7x}{5}\" alt=\"\\frac{7x}{5}\" align=\"absmiddle\" \/> + 1 \u2260 7x<br \/>\nThus, L.H.S \u2260 R.H.S<br \/>\nThe correct statement is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7x&amp;space;+5}{5}\" alt=\"\\frac{7x +5}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7x}{5}\" alt=\"\\frac{7x}{5}\" align=\"absmiddle\" \/> + 1<\/span><\/p>\n<p>&nbsp;<\/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","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 14 (Factorisation)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 14 Factorisation\u00a0 Exercise 14.4 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 14: Factorisation NCERT Solution Class 8 Maths Ex &#8211; 14.1 NCERT Solution Class 8 [&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":[470,471,445,5],"class_list":["post-3413","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-14-factorisation-in-english","tag-ncert-solutions-class-8-maths-chapter-14-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 v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 14 Factorisation Ex 14.4 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 14 (Factorisation)\u00a0The NCERT Solutions in English Language for Class 8 Mathematics Chapter - 14 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