Question:
Factorize each of the following algebraic expressions:
x3(a − 2b) + x2(a − 2b)
Solution:
$x^{3}(a-2 b)+x^{2}(a-2 b)$
$=\left(x^{3}+x^{2}\right)(a-2 b) \quad[$ Taking $(a-2 b)$ as the common factor $]$
$=x^{2}(x+1)(a-2 b) \quad\left[\right.$ Taking $x^{2}$ as the common factor of $\left.\left(x^{3}+x^{2}\right)\right]$
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