Question

Factor the polynomial by factoring out the greatest common factor.

Answer 1

\[(x^3-y)^2-(x^3-y)\]

Answer 2

What is the greatest common factor?

Answer 3

It would be (x^3 - y). So when you factor that out of each term, you divide each term by that.

Answer 4

\[(x^3-y)^2-(x^3-y) = (x^3 - y) (\frac {(x^3-y)^2}{(x^3 - y)} - \frac {(x^3-y)}{(x^3-y)})\]

Answer 5

\[(x^3-y)^2-(x^3-y) = (x^3 - y)(x^3 - y - 1)\]

Answer 6

so that is the answer the last part or do i need to reduce it further.

Answer 7

That is the answer.