Solve: 75 a^3 b^2-108 a b^4 - Vidyadip

Question

Solve:
$75 a^3 b^2-108 a b^4$

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Answer

$75 a^3 b^2-108 a b^4$
$=3 a b^2\left(25 a^2-36 b^2\right)$
$=3 a b^2\left[(5 a)^2-(6 B)^2\right]$
$=3 a b^2(5 a-6 b)(5 a+6 b)$

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