SOLUTION: x^4-y^4 x^2-y^2 x^6-y^6 ------- x -------- x -------- x^3-y^3 x^3+y^3 x^2+y^2 those are fractions multiplied by eachother "carry out the indicated ope

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: x^4-y^4 x^2-y^2 x^6-y^6 ------- x -------- x -------- x^3-y^3 x^3+y^3 x^2+y^2 those are fractions multiplied by eachother "carry out the indicated ope      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 107726This question is from textbook Algebra and Trigonometry
: x^4-y^4 x^2-y^2 x^6-y^6
------- x -------- x --------
x^3-y^3 x^3+y^3 x^2+y^2
those are fractions multiplied by eachother
"carry out the indicated operations and simplify"
the answer in the back of the book is x^4-2x^2y^2+y^4
i'm just confused as to how to get to that answer. i've tried some things, but they aren't working.
This question is from textbook Algebra and Trigonometry

Answer by edjones(7311) About Me  (Show Source):
You can put this solution on YOUR website!
%28cross%28x%5E2%2By%5E2%29cross%28x%2By%29cross%28x-y%29%29%2F%28cross%28x-y%29cross%28x%5E2%2Bxy%2By%5E2%29%29%2A%28%28x%2By%29%28x-y%29%29%2F%28cross%28x%2By%29cross%28x%5E2-xy%2By%5E2%29%29%2A%28%28x%2By%29%28x-y%29cross%28x%5E2%2Bxy%2By%5E2%29cross%28x%5E2-xy%2By%5E2%29%29%2Fcross%28x%5E2%2By%5E2%29
=(x^2)^2
=x^4-2x^2y^2+y^4
Ed