# Math Help - simplify the expression

1. ## simplify the expression

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

2. Originally Posted by B-lap
\frac{1}{x^2+2x+1}-\frac{1}{x^2-4x-5}

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.

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