# Math Help - Can anyone help me with these fractions with polynomials?

1. ## Can anyone help me with these fractions with polynomials?

Can anyone help me solve these fractions? I just can't find a way to simplify it all..

I've got the idea how to simplify the first and the last fractions' denominators but can't figure out the middle one..

Sorry it's a little hard to explain but i hope you all will get it

2. ## Re: Can anyone help me with these fractions with polynomials?

What I would do is the following:
$\frac{1}{x^2+2x-3}+\frac{18}{x^2+2x+2}=\frac{18}{x^2+2x+1}$
$\Leftrightarrow \frac{(x^2+2x+2)+18(x^2+2x-3)}{(x^2+2x-3)(x^2+2x+2)}=\frac{18}{(x+1)^2}$

Expand the numerator of the LHS and use $\frac{A}{B}=\frac{C}{D} \Leftrightarrow A\cdot D=B\cdot C$

And don't forget to exclude the values wherefore the denominators become zero ...