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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization2 Marks
Question
Solve:
$a^4 b^4-84 c^4$
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Answer

$a^4 b^4-84 c^4$
$=\left(a^2 b^2\right)^2-\left(9 c^2\right)^2$
$=\left(a^2 b^2+9 c^2\right)\left(a^2 b^2-9 c^2\right)$
$=\left(a^2 b^2+9 c^2\right)\left[(a b)^2-(2 c)^2\right]$
$=\left(a^2 b^2+9 c^2\right)(a b+3 c)(a b-3 c)$

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