
Polynomial
I'm getting stuck on a simple problem:
Solve by adding:
(1 / (x+3)) + (1 / (X^2+5x+6)
I have two ways of doing this where I can factor out the 1 / (X+3) or I can multiply the numerator to get (X+2)(X+3). Can someone show me the steps to get to the correct answer?

Re: Polynomial
$\displaystyle \frac{1}{x+3} + \frac{1}{(x+2)(x+3)}$
common denominator ...
$\displaystyle \frac{x+2}{(x+2)(x+3)} + \frac{1}{(x+2)(x+3)}$
$\displaystyle \frac{(x+2)+1}{(x+2)(x+3)}$
$\displaystyle \frac{x+3}{(x+2)(x+3)}$
$\displaystyle \frac{1}{x+2}$
note restrictions ... $\displaystyle x \ne 2 \, , \, x \ne 3$

Re: Polynomial
Thanks! That's what I originally had and saw there was another way to solve by factoring:
(1/(X+3))(1+(1/(X+2)) which solves out to 1/(X+2) as well.