1/x^2+2x+1 subtract 1/x^2-4x-5

and give your answer in the form of f(x)/g(x)

your answer for the function f(x) is: ________

your answer for the function of g(x) is: _______

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- Sep 21st 2009, 01:49 PMB-lapsimplify the expression
1/x^2+2x+1 subtract 1/x^2-4x-5

and give your answer in the form of f(x)/g(x)

your answer for the function f(x) is: ________

your answer for the function of g(x) is: _______ - Sep 21st 2009, 01:57 PMredsoxfan325
Factor the denominators. (This makes it easier to find a common denominator.)

$\displaystyle \frac{1}{(x+1)^2}-\frac{1}{(x+1)(x-5)}$

Make common denominators and subtract.

$\displaystyle \frac{x-5}{(x+1)^2(x-5)}-\frac{x+1}{(x+1)^2(x-5)}=\boxed{\frac{-6}{(x+1)^2(x-5)}}$