SOLUTION: factor completely or state that the polynomial is prime. a.) 2x^3y - 32xy b.) x^8 - y^8 c.) 3x^5 + 24x^2

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: factor completely or state that the polynomial is prime. a.) 2x^3y - 32xy b.) x^8 - y^8 c.) 3x^5 + 24x^2      Log On

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Question 239373: factor completely or state that the polynomial is prime.
a.) 2x^3y - 32xy
b.) x^8 - y^8
c.) 3x^5 + 24x^2
Answer by nyc_function(2733) About Me  (Show Source):
You can put this solution on YOUR website!

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)