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Factorisation — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation2 Marks
Question
Factorise : $(a+b)^{ 3 }+(a-b)^3$
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Answer

$2 a\left(a^2+3 b^2\right)$
[Hint.Given Exp.=$x^3+y^3$, where $(a+b)=x$ and $(a-b)=y$
$=(x+y)\left[x^2-x y+y^2\right]$
$=(a+b+a-b)\left[(a+b)^2-\left(a^2-b^2\right)+(a-b)^2\right]$
$\left.=2 a\left(a^2+3 b^2\right)\right]$

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