SOLUTION: simplify: x-2 over x+2 minus x+3 over x-3

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Question 65368: simplify:
x-2 over x+2 minus x+3 over x-3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x-2 over x+2 minus x+3 over x-3
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(x-2)/(x+2) - (x+3)/(x-3)
[(x-2)(x-3)-(x+3)(x+2)]/(x+2)(x-3)
=[x^2-5x+6-(x^2+5x+6)]/(x+2)(x-3)
=[-10x]/(x+2)(x-3)
Cheers,
Stan H.