simplify..need help

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January 23rd 2010, 08:57 AM
wolfhound

simplify..need help

f(x)= (-2x^2 +2)/(x^2 +2x +1)
how does this simplify any further?
January 23rd 2010, 09:13 AM
skeeter

Quote:

Originally Posted by wolfhound

f(x)= (-2x^2 +2)/(x^2 +2x +1)
how does this simplify any further?

factoring the numerator and denominator will tell you if the rational expression simplifies further.
January 23rd 2010, 09:15 AM
wolfhound

Quote:

Originally Posted by skeeter

factoring the numerator and denominator will tell you if the rational expression simplifies further.

How can I do that with this?
January 23rd 2010, 09:29 AM
satis

well, I may have made a mistake, but I was able to factor the equation to

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

But that doesn't simplify any further, unless you consider it being factored as being "simplified".
January 23rd 2010, 09:46 AM
skeeter

$\frac{-2x^2+2}{x^2+2x+1}<br />$

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

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

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

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