SOLUTION: Simplify completely: ( x + 7 )/( x - 7 ) divided by (x2 - 49 )/( 7 - x )

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Question 93252: Simplify completely: ( x + 7 )/( x - 7 ) divided by (x2 - 49 )/( 7 - x )
Answer by ankor@dixie-net.com(12692) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify completely: ( x + 7 )/( x - 7 ) divided by (x2 - 49 )/( 7 - x )
:
%28%28x%2B7%29%29%2F%28%28x-7%29%29
------------
%28%28x%5E2-49%29%29%2F%28%287-x%29%29
:
We can rewrite (7-x) to -1(x-7) and factor (x^2-49), (difference of squares)
%28%28x%2B7%29%29%2F%28%28x-7%29%29
------------
%28%28x-7%29%28x%2B7%29%29%2F%28-1%28x-7%29%29
:
Cancel out the (x-7)'s in the dividing fraction
%28%28x%2B7%29%29%2F%28%28x-7%29%29
------------
%28%28x%2B7%29%29%2F%28-1%29
:
Invert the dividing fraction and multiply
%28%28x%2B7%29%29%2F%28%28x-7%29%29 * -1%2F%28%28x%2B7%29%29 = -1%2F%28%28x-7%29%29; canceled (x+7)'s
;
How about this, did it make sense to you?