simplify the expression

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• September 21st 2009, 02:49 PM
B-lap
simplify 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: _______
• September 21st 2009, 02:57 PM
redsoxfan325
Quote:

Originally Posted by B-lap
\frac{1}{x^2+2x+1}-\frac{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: _______

Factor the denominators. (This makes it easier to find a common denominator.)

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

Make common denominators and subtract.

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