How do you factor 54a^4 - 16ab^3?

1 Answer
Jul 5, 2016

2a(3a−2b)(9a^2+6ab+4b^2)

Explanation:

Take out common factors from 54 and 16.
The highest value that can be factored out is 2.

So far:

2(27a^4 - 8ab^3)

Now lets take out common factors between the variables. The highest value that can be pulled out from a^4 and ab^3 is a.

2a(27a^3 - 8b^3)

We're not done yet.

2a(3a−2b)(9a^2+6ab+4b^2)