Product of $6 a^{2} - 7 b + 5 a b$ and $2 a b$ is

12 a^{3} b - 14 a b^{2} + 10 a b

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12 a^{3} b - 14 a b^{2} + 10 a^{2} b^{2}

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6 a^{2} - 7 b + 7 a b

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12 a^{2} b - 7 a b + 10 a b

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Solution

The correct option is B $12 a^{3} b - 14 a b^{2} + 10 a^{2} b^{2}$
$2 a b (6 a^{2} - 7 b + 5 a b) = 2 a b \times 6 a^{2} - 2 a b \times 7 b + 2 a b \times 5 a b$
$= 12 a^{3} b - 14 a b^{2} + 10 a^{2} b^{2}$

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