Factorise: 64 a^3-27 b^3-144 a^2 b+108 a b^2 - Vidyadip

Question

Factorise:
$64 a^3-27 b^3-144 a^2 b+108 a b^2$

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Answer

$64 a^3-27 b^3-144 a^2 b+108 a b^2$
$=(4 a)^3-(3 b)^3-3(4 a)^2(3 b)+3(4 a)(3 b)^2$
$=(4 a-3 b)^3$

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