SOLUTION: I'm just checking for accuracy here... the equation is {{{x^6+y^6}}}. My answer was {{{(x^3-y^3)}}}={{{(x^3+y^3)(x+y)(x-y). Is this correct? Thank you.

Algebra ->  Expressions -> SOLUTION: I'm just checking for accuracy here... the equation is {{{x^6+y^6}}}. My answer was {{{(x^3-y^3)}}}={{{(x^3+y^3)(x+y)(x-y). Is this correct? Thank you.      Log On


   

Question 8435: I'm just checking for accuracy here... the equation is x%5E6%2By%5E6.
My answer was %28x%5E3-y%5E3%29=(x^3+y^3)(x+y)(x-y). Is this correct?
Thank you.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Not really. This is a sum of cubes, which turns out to be a binomial times a trinomial:
x%5E6+%2B+y%5E6+
%28x%5E2%29%5E3+%2B+%28y%5E2%29%5E3
%28x%5E2+%2B+y%5E2%29%28x%5E4+-+x%5E2y%5E2+%2B+y%5E4%29+

Neither of these factors can be refactored, so this must be the final answer.

R^2 at SCC