Factorize each of the following expression:

Question:

Factorize each of the following expression:
16(a − b)3 − 24 (a − b)2

Solution:

$16(a-b)^{3}-24(a-b)^{2}$

$=8(a-b)^{2}[2(a-b)-3]$            $\left\{\right.$ Taking $\left[8(a-b)^{2}\right]$ as the common factor $\}$

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

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