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Algebraic Expressions, Identities and Factorisation — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Factorise the following, using the identity $a^2+ 2ab + b^2 = (a + b)^2$
$a^2x^3+ 2abx^2+ b^2x$
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Answer

$ a^2 x^3+2 a b x^2+b^2 x $
$ =x\left(a^2 x^2+2 a b x+b^2\right) $
$ =x\left[(ax)^2+2 \times a x \times b+b^2\right] $
$ =x(a x+b)^2 $
$=x(ax + b)(ax + b)$

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