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Factorisation of Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$108a^2 - 3(b - c)^2$
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Answer

$108a^2 - 3(b - c)^2$
$= 3[(36a^2 - (b -c)^2]$
$= 3[(6a)^2 - (b - c)^2]$ $\big[\therefore\ \text{a}^2-\text{b}^2=(\text{a}-\text{b})(\text{a}+\text{b})\big]$
$= 3(6a + b - c)(6a - b + c)$

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