SOLUTION: Rewrite the expression using positive exponents only. (Simplify your answer completely.) (x^3 - y^3)(x^-3 + y^-3) thank you

Algebra ->  Exponents -> SOLUTION: Rewrite the expression using positive exponents only. (Simplify your answer completely.) (x^3 - y^3)(x^-3 + y^-3) thank you       Log On


   

Question 1160441: Rewrite the expression using positive exponents only. (Simplify your answer completely.)
(x^3 - y^3)(x^-3 + y^-3)
thank you
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

%0D%0A%28x%5E3+-+y%5E3%29%28x%5E%28-3%29+%2B+y%5E%28-3%29%29
%0D%0Ax%5E3%2Ax%5E%28-3%29%2Bx%5E3y%5E%28-3%29-x%5E%28-3%29y%5E3+-+y%5E3y%5E%28-3%29

%0D%0Ax%5E0%2Bx%5E3%2Fy%5E3-y%5E3%2Fx%5E3+-+y%5E0
%0D%0A1%2Bx%5E3%2Fy%5E3-y%5E3%2Fx%5E3+-+1
%0D%0Ax%5E3%2Fy%5E3-y%5E3%2Fx%5E3

I personally think the above is the simplest answer.  But your
teacher may intend for you to keep going:

%0D%0A%28x%5E6-y%5E6%29%2F%28x%5E3y%5E3%29
%0D%0A%28x%5E3-y%5E3%29%28x%5E3%2By%5E3%29%2F%28x%5E3y%5E3%29



Edwin