State whether True or False.
Factorization of $a^{2} - a b (1 - b) - b^{3}$ is $(a - b) (a + b^{2})$ .

True

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False

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Solution

The correct option is A True
$F a c t o r i z i n g a^{2} - a b (1 - b) - b^{3} = a^{2} - a b + a b^{2} - b^{3} = a (a - b) + b^{2} (a - b) = (a - b) (a + b^{2})$

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