Question

Write the factors of the following expression x3 (2a‐6)+x2 (2a-6)​

Answer 1

Given:

The expression is

$x^3(2x-6)+x^2(2x-6)$

To find:

The factors of the given expression.

Solution:

We have,

$x^3(2x-6)+x^2(2x-6)$

First taking $(2x-6)$ common, the given expression can be written as

$=(2x-6)(x^3+x^2)$

Taking $x^2$ common from $(x^3+x^2)$, we get

$=x^2(2x-6)(x+1)$

Therefore, the factors of the given expression are $x^2(2x-6)(x+1)$.