How do you factor 12a^3+2a^2-192a-32?

1 Answer
Apr 17, 2018

The fully factored form is 2(a-4)(a+4)(6a+1).

Explanation:

Use the factor by grouping method:

color(white)=12a^3+2a^2-192a-32

=2a^2(6a+1)-192a-32

=2a^2(6a+1)-32(6a+1)

=(2a^2-32)(6a+1)

=2(a^2-16)(6a+1)

Difference of squares:

=2(a-4)(a+4)(6a+1)

That's the fully factored form. Hope this helped!