## anonymous 4 years ago Factor the polynomial by factoring out the greatest common factor.

1. anonymous

$(x^3-y)^2-(x^3-y)$

2. anonymous

What is the greatest common factor?

3. anonymous

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

4. anonymous

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

5. anonymous

$(x^3-y)^2-(x^3-y) = (x^3 - y)(x^3 - y - 1)$

6. anonymous

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

7. anonymous