# Math Help - Polynomial Division

1. ## Polynomial Division

Divide the following:

[x^3 - a^3]/(x - a)

Is the numerator the difference of two perfect cubes?

If so, how do I divide this fraction?

The different variables confused me.

2. Do you know the difference of cubes: $a^{3} - b^{3} = (a-b)(a^2+ab+b^2)$

If you factor the numerator according to the above formula, you should see a common factor that'll cancel.

3. ## yes...

Originally Posted by o_O
Do you know the difference of cubes: $a^{3} - b^{3} = (a-b)(a^2+ab+b^2)$

If you factor the numerator according to the above formula, you should see a common factor that'll cancel.
Yes, I know the difference of cubes.
I finally got the answer x^2 + xa + a^2 with no remainder.

Thanks