SOLUTION: trying to help my HS daughter factor (x^3-x^2 y+x y^2-y^3)/(x^4-y^4)

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: trying to help my HS daughter factor (x^3-x^2 y+x y^2-y^3)/(x^4-y^4)       Log On


   

Question 674023: trying to help my HS daughter factor (x^3-x^2 y+x y^2-y^3)/(x^4-y^4)
Found 3 solutions by Alan3354, ReadingBoosters, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
trying to help my HS daughter factor (x^3-x^2 y+x y^2-y^3)/(x^4-y^4)
----------
That's a division problem.
It might be simplified by factoring the NUM and the DEN.
For the DEN:

------------------
The factors of the NUM are not obvious, if there are any.
I'll work on it later.

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E3-x%5E2y%2Bxy%5E2-y%5E3%29%2F%28x%5E4-y%5E4%29
...
%28%28x%5E2%2By%5E2%29%28x-y%29%29%2F%28%28x%5E2%2By%5E2%29%28x%5E2-y%5E2%29%29
...
%28%28x%5E2%2By%5E2%29%28x-y%29%29%2F%28%28x%5E2%2By%5E2%29%28x%2By%29%28x-y%29%29
...
highlight_green%281%2F%28x%2By%29%29
.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

trying to help my HS daughter factor (x^3-x^2 y+x y^2-y^3)/(x^4-y^4)

%28x%5E3+-+x%5E2y+%2B+xy%5E2+-+y%5E3%29%2F%28x%5E4+-+y%5E4%29

%28x%5E2%28x+-+y%29+%2B+y%5E2%28x+-+y%29%29%2F%28%28x%5E2+-+y%5E2%29%28x%5E2+%2B+y%5E2%29%29 ---- Factoring numerator and denominator

%28%28x%5E2+%2B+y%5E2%29%28x+-+y%29%29%2F%28%28x+-+y%29%28x+%2B+y%29%28x%5E2+%2B+y%5E2%29%29 ---- Factoring numerator and denominator further

------ highlight_green%281%2F%28x+%2B+y%29%29

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com