Subtract : $9 b (- 2 a^{2} b^{2} + 2 b^{2} + 3 a)$ from $2 a (7 a^{2} b^{2} + a b^{2} + 5 b)$

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Solution

We have,

$2 a (7 a^{2} b^{2} + a b^{2} + 5 b) - 9 b (- 2 a^{2} b^{2} + 2 b^{2} + 3 a)$

$= 14 a^{3} b^{2} + 2 a^{2} b^{2} + 10 a b + 18 a^{2} b^{3} - 18 b^{3} - 27 a b$
$= 14 a^{3} b^{2} + 18 a^{2} b^{3} + 2 a^{2} b^{2} - 17 a b - 18 b^{3}$
Hence, this is the answer.

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