SOLUTION: 1 - y^2 ____ x^2 __________ 1 - y __ x

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Question 146061: 1 - y^2
____
x^2
__________
1 - y
__
x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281-%28y%5E2%29%2F%28x%5E2%29%29%2F%281-%28y%29%2F%28x%29%29 Start with the given expression


%28x%5E2%281-%28y%5E2%29%2F%28x%5E2%29%29%29%2F%28x%5E2%281-%28y%29%2F%28x%29%29%29 Multiply both numerator and denominator by the LCD x%5E2


%28x%5E2-y%5E2%29%2F%28x%5E2-xy%29 Distribute. Notice how the inner denominators cancel.


%28%28x%2By%29%28x-y%29%29%2F%28x%5E2-xy%29 Factor the numerator.


%28%28x%2By%29%28x-y%29%29%2F%28x%28x-y%29%29 Factor the denominator.


%28%28x%2By%29cross%28%28x-y%29%29%29%2F%28x%2Across%28%28x-y%29%29%29 Cancel like terms.


%28x%2By%29%2Fx Simplify.



So %281-%28y%5E2%29%2F%28x%5E2%29%29%2F%281-%28y%29%2F%28x%29%29 simplifies to %28x%2By%29%2Fx