Question 239373

BIG TIP:  Post one question at a time or else your questions will be ignored.

I will do (a).

factor completely or state that the polynomial is prime.
a.) 2x^3y - 32xy

We need to remove the grestest common factor and then divide each term by the greatest common factor.

The GCF = 2xy

2xy(x^2 - 16)

(x^2 - 16) is the difference of two perfect squares and factors out to be
(x - 4)(x + 4).

Final answer: 2xy(x - 4)(x + 4)