# rational expressions #5

• July 24th 2013, 03:26 PM
Mathnood768
rational expressions #5
http://puu.sh/3KWlL.jpg
i dont know what those trinomals factor into to become binomals
• July 24th 2013, 04:01 PM
BobP
Re: rational expressions #5
The first step has to be to combine those two terms on the LHs as a single term.
• July 24th 2013, 04:34 PM
Mathnood768
Re: rational expressions #5
no i need them as binomals but i dont know what they would be, what would x^2 + x + 2 be factored out as to be in a (x ... )(x .... ) form as well as x^2 - 1
• July 24th 2013, 04:48 PM
Plato
Re: rational expressions #5
Quote:

Originally Posted by Mathnood768
http://puu.sh/3KWlL.jpg
i dont know what those trinomals factor into to become binomals

@Mathnood768, you have no idea how any of this actually works.

If $x\ne\pm 1$ then multiply both sides by $x^2-1$.
We get:
$\\(x-1)(x^2+x+2)-x(x^2-1)=x^2-5\\x^3+x-2-x^3+x=x^2-5\\2x-2=x^2-5$