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Factorization — Maths STD 8 — Question

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

$a^2 x^2+\left(a x^2+1\right) x+a$
$=\left(a x^3+a^2 x^2\right)+(x+a)$
$=a x^2(x+a)+(x+a)$
$=\left(a x^2+a\right)(x+a)[$ taking $(x+a)$ as the common factor $]$

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