Given:
The expression is
[tex]x^3(2x-6)+x^2(2x-6)[/tex]
To find:
The factors of the given expression.
Solution:
We have,
[tex]x^3(2x-6)+x^2(2x-6)[/tex]
First taking [tex](2x-6)[/tex] common, the given expression can be written as
[tex]=(2x-6)(x^3+x^2)[/tex]
Taking [tex]x^2[/tex] common from [tex](x^3+x^2)[/tex], we get
[tex]=x^2(2x-6)(x+1)[/tex]
Therefore, the factors of the given expression are [tex]x^2(2x-6)(x+1)[/tex].
