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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Factorize of the following expressions:
$a b\left(x^2+1\right)+x\left(a^2+b^2\right)$
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Answer

$a b\left(x^2+1\right)+x\left(a^2+b^2\right)=a b x^2+a b+a^2 x+b^2 x$
$=\left(a b x^2+a^2 x\right)+\left(b^2 x+a b\right)$
$=a x(b x+a)+b(b x+a)$
$=(a x+b)(b x+a)[$ taking $(b x+a)$ as the common facotor]

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