SOLUTION: Perform indicated operations, simplify when possible (x-7)/(x^2-16)-(x-1)/(16-x^2)

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Question 348030: Perform indicated operations, simplify when possible
(x-7)/(x^2-16)-(x-1)/(16-x^2)
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
(x-7)/(x^2-16)-(x-1)/(16-x^2)

=[(x-7)+(x-1)]/(x^2-16) | by collecting

=(2x-8)/[(x-4)(x+4)] | by simplifying and factorizing denominator

=2(x-4)/[(x-4)(x+4)] | by factorizing numerator

=2/(x+4) | by simplifying