Factorise: 16(2 p-3 q)^2-4(2 p-3 q) - Vidyadip

Question

Factorise: $16(2 p-3 q)^2-4(2 p-3 q)$

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Answer

$16(2 p-3 q)^2-4(2 p-3 q)$
$=(2 p-3 q)\{16(2 p-3 q)-4\}$
$=(2 p-3 q)(32 p-48 q-4)$
$=4(2 p-3 q)(8 p-12 q-1)$

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