SOLUTION: Please help simply this rational expression. Thanks. (x^3+y^3) / (x^2-y^2) I already did so far (x^3+y^3) / (x-y)(x+y) But I don't know what to do after this. Thanks again.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help simply this rational expression. Thanks. (x^3+y^3) / (x^2-y^2) I already did so far (x^3+y^3) / (x-y)(x+y) But I don't know what to do after this. Thanks again.      Log On


   

Question 62599This question is from textbook
: Please help simply this rational expression. Thanks. (x^3+y^3) / (x^2-y^2)
I already did so far (x^3+y^3) / (x-y)(x+y)
But I don't know what to do after this.
Thanks again. This question is from textbook

Found 2 solutions by josmiceli, funmath:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x%5E3%2By%5E3%29+%2F+%28x%5E2-y%5E2%29
note that %28x%5E2+%2B+y%5E2%29%28x+%2B+y%29+=+x%5E3+%2B+y%5E3+%2B+xy%5E2+%2B+x%5E2y
subtract xy%5E2+%2B+x%5E2y from both sides
x%5E3+%2B+y%5E3+=+%28x%5E2+%2B+y%5E2%29%28x+%2B+y%29+-+xy%5E2+-+x%5E2y
%28%28x%5E2+%2B+y%5E2%29%28x+%2B+y%29+-+xy%5E2+-+x%5E2y%29+%2F+%28x%5E2+-+y%5E2%29

%28x%5E2+%2B+y%5E2%29+%2F+%28x+-+y%29+-+%28xy+%2F+%28x+-+y%29%29
%28x%5E2+%2B+y%5E2+-+xy%29+%2F+%28x+-+y%29
note that x%5E2+%2B+y%5E2+=+%28x+-+y%29%5E2+%2B+2xy
%28%28x+-+y%29%5E2+%2B+xy%29+%2F+%28x+-+y%29
x+-+y+%2B+%28xy+%2F+%28x+-+y%29%29 answer

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
(x^3+y^3) / (x^2-y^2)
I already did so far (x^3+y^3) / (x-y)(x+y)
You've got a good start.
There's a formula for factoring the sum of cubes highlight%28%28a%5E3%2Bb%5E3%29=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29%29
%28%28x%2By%29%28x%5E2-xy%2By%5E2%29%29%2F%28%28x-y%29%28x%2By%29%29

highlight%28%28x%5E2-xy%2By%5E2%29%2F%28x-y%29%29
Happy Calculating and Happy Thanksgiving!!!!