Question
Factorize of the following algebraic expression:
$x^3(a-2 b)+x^2(a-2 b)$
$x^3(a-2 b)+x^2(a-2 b)$
✓
Answer
$x^3(a-2 b)+x^2(a-2 b)$
$= (x^3+ x^2)(a - b)$ [taking $(a - 2b)$ as the common factor]
$= x^2(x + 1)(a - 2b) [$taking $x2$ as the common factor of $(x^3+ x^2)]$
$= (x^3+ x^2)(a - b)$ [taking $(a - 2b)$ as the common factor]
$= x^2(x + 1)(a - 2b) [$taking $x2$ as the common factor of $(x^3+ x^2)]$
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