Given:
[tex]18m^^3+24m^2-24m[/tex]
Required:
We need to factorize the given polynomial completely.
Explanation:
Take out the common multiple 6m.
[tex]18m^3+24m^2-24m=6m(3m^2+4m-4)[/tex][tex]Use\text{ 4m=6m-2m.}[/tex]
[tex]18m^3+24m^2-24m=6m(3m^2+6m-2m-4)[/tex]
Take out the common multiple.
[tex]18m^3+24m^2-24m=6m(3m(m+2)-2(m+2))[/tex][tex]18m^3+24m^2-24m=6m(m+2)(3m-2)[/tex]
Final answer:
[tex]6m(m+2)(3m-2)[/tex]
