anonymous
  • anonymous
Factor the polynomial by factoring out the greatest common factor.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[(x^3-y)^2-(x^3-y)\]
Rogue
  • Rogue
What is the greatest common factor?
Rogue
  • Rogue
It would be (x^3 - y). So when you factor that out of each term, you divide each term by that.

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Rogue
  • Rogue
\[(x^3-y)^2-(x^3-y) = (x^3 - y) (\frac {(x^3-y)^2}{(x^3 - y)} - \frac {(x^3-y)}{(x^3-y)})\]
Rogue
  • Rogue
\[(x^3-y)^2-(x^3-y) = (x^3 - y)(x^3 - y - 1)\]
anonymous
  • anonymous
so that is the answer the last part or do i need to reduce it further.
Rogue
  • Rogue
That is the answer.

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