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)`.