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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Solve:
$49(a-b)^2-25(a+b)^2$
 
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Answer

$49(a-b)^2-25(a+b)^2$
$=\left[7(a-b)^2\right]-[5(a+b)]^2$
$=[7(a-b)-5(a+b)][7(a-b)+5(a+b)]$
$=(7 a-7 b-5 a-5 b)(7 a-7 a+5 a+5 b)$
$=(2 a-12 b)(12-2 b)$
$=2(a-6 b) 2(6 a-b)$
$=4(a-6 b)(6 a-b)$

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