SOLUTION: Here is another question: x^2 + 2xy + y^2 / x + y * x^2 - y^2 / x-y This is my final answer: x^2 + xy + y^2 or (x+y)(x+y) / (x+y)^2 ????????? Please show me your steps as

Algebra ->  Expressions -> SOLUTION: Here is another question: x^2 + 2xy + y^2 / x + y * x^2 - y^2 / x-y This is my final answer: x^2 + xy + y^2 or (x+y)(x+y) / (x+y)^2 ????????? Please show me your steps as      Log On


   

Question 57479: Here is another question:
x^2 + 2xy + y^2 / x + y * x^2 - y^2 / x-y
This is my final answer: x^2 + xy + y^2 or (x+y)(x+y) / (x+y)^2 ?????????
Please show me your steps as to how you got it so I can compare
Thanks,
dnn
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dnn,
%28%28x%5E2%2B2xy%2By%5E2%29%2F%28x%2By%29%29%2A%28%28x%5E2-y%5E2%29%2F%28x-y%29%29 First factor:
%28%28x%2By%29%28x%2By%29%2F%28x%2By%29%29%2A%28%28x%2By%29%28x-y%29%2F%28x-y%29%29 Cancel the numerators and denominators that match:
Multiply what's left:
%28x%2By%29%28x%2By%29 is an acceptable answer
%28x%2By%29%5E2 is an acceptable answer
x%5E2%2B2xy%2By%5E2 is also an acceptable answer.
:
When you get a little more practice, you will notice that the differecnce of two squares x%5E2-y%5E2=%28x%2By%29%28x-y%29 and cancel those two parts right away to get the same conclussion. For now, factor, cancel, multiply.
Happy Cacluating, dnn!!!