Factorise: 12(2 x-3 y)^2-16(3 y-2 x) - Vidyadip

Question

Factorise:
$12(2 x-3 y)^2-16(3 y-2 x)$

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Answer

$12(2 x-3 y)^2-16(3 y-2 x)$
$=12(2 x-3 y)^2+16(2 x-3 y)$
$=4(2 x-3 y)\{3(2 x-3 y)+4\}$
$=4(2 x-3 y)(6 x-9 y+4)$

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