Question

Factorize each of the following algebraic expressions:
x³(a − 2b) + x²(a − 2b)

Answer 1

\[x^3 (a - 2b) + x^2 (a - 2b)\]
\[ = ( x^3 + x^2 )(a - 2b) [\text{ Taking }(a - 2b)\text{ as the common factor }]\]
\[ = x^2 (x + 1)(a - 2b) [\text{ Taking }x^2\text{ as the common factor of }( x^3 + x^2 )]\]