Posted by Mary on Sunday, June 10, 2012 at 9:01pm.
Assuming you mean
(x^2+17x)/(x^2-9x) + (x^2-10x)/(x^2-9x)
you can factor out the x's giving
(x+17)/(x-9) + (x-10)/(x-9)
= (x+17+x-10)/(x-9)
= (2x+7)/(x-9)
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