$8 (3 a - 2 b)^{2} - 10 (3 a - 2 b)$

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Solution

Let $y = 8 (3 a - 2 b)^{2} - 10 (3 a - 2 b)$
taking $(3 a - 2 b)$ common we get
$y = (3 a - 2 b) [8 (3 a - 2 b) - 10]$
$y = (3 a - 2 b) [24 a - 16 b - 10]$
on solving we get
$y = 72 a^{2} - 48 a b - 30 a - 48 a b + 32 b^{2} + 20 b$
$y = 72 a^{2} + 32 b^{2} - 96 a b - 30 a + 20 b$
$y = 72 a^{2} - 30 a + 32 b^{2} + 20 b - 96 a b$ .

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