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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Factorize of the following expressions:
$x a^2+x b^2-y a^2-y b^2$
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Answer

$x a^2+x b^2-y a^2-y b^2$
$=\left(x a^2+x b^2\right)-\left(y a^2-y b^2\right)$
$=x\left(a^2+b^2\right)-y\left(a^2-b^2\right)$
$=(x-y)\left(a^2-b^2\right)\left[\right.$ taking $\left(a^2-b^2\right)$ as the common factor]

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