Simplifying Expressions: \frac{1}{x+2}+\frac{1}{x^2-4}-\frac{2}{x^2-x-2}

[powp]

Is this correct??

Hello

IS this correct? I have to perform the indicated operations and simplify

\frac{1}{x+2}+\frac{1}{x^2-4}-\frac{2}{x^2-x-2}

This is my answer

\frac{x^2+2x-5}{(x+2)(x-2)(x+1)}

Thanks

 

[Zurtex]

Shouldn't the numerator of the answer be: x^2 - 2x - 5?

 

[powp]

Sorry I have made a typing mistake

its

\frac{x^2-2x-5}{(x+2)(x-2)(x+1)}

is this correct?

 

[Zurtex]

Yep, checks out with Mathematica, hehe, I'm so lazy. So yeah it's right.