Factorize $10 a^{2} b - 4 a b + 6 a b^{2}$

a b (5 a - 2 + 3 b)

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2 a b (5 a + 2 + 3 b)

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2 a b (5 b - 2 + 3 a)

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2 a b (5 a - 2 + 3 b)

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Solution

The correct option is D $2 a b (5 a - 2 + 3 b)$
Given a polynomial expression $10 a^{2} b - 4 a b + 6 a b^{2}$

The highest common factor among the three terms is $2 a b$ .

Taking common $2 a b$ from all the three terms:
$10 a^{2} b - 4 a b + 6 a b^{2}$
$= 2 a b (5 a - 2 + 3 b)$

The factorization of the polynomial $10 a^{2} b - 4 a b + 6 a b^{2}$ would be $2 a b (5 a - 2 + 3 b)$ .
Therefore, option (d.) is the correct answer.

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Factorize

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