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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization2 Marks
Question
Factorize of the following expressions:
$x a^2+x b^2-y a^2-y b^2$
✓

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) $
$= (x - y)(a^2- b^2)$ [taking $(a^2- b^2)$ as the common factor]

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