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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization2 Marks
Question
Solve:
$ a^4 b^4-84 c^4 $
✓

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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