1. ## Fraction Problem

express in simplest form:

I get to here $(x(x-2))/(x(x+2))+(-4)/(x+2)$

now what do I do?

2. Originally Posted by ~berserk
express in simplest form:

I get to here $(x(x-2))/(x(x+2))+(-4)/(x+2)$

now what do I do?
the key here is a little factoring, and the rewriting of some of the terms

$x^2-4=(x+2)(x-2)$

$x^2-4x+4=(x-2)^2$

and finally dividing by $\frac{4}{x^2-4x+4}$ is the same as multiplying by

$\frac{(x-2)^2}{4}$

So rewrting we have

$\frac{2x}{(x-2)(x+2)}\cdot\frac{(x-2)^2}{4}+\frac{1}{(x-2)(x+2)}\cdot\frac{-(x-2)}{3}$

can you go from there?

3. is the answer $\frac{(x-4)}{2}$ ?

4. Originally Posted by ~berserk
is the answer $\frac{(x-4)}{2}$ ?
dont be shy, show yoru work..but yes

5. Originally Posted by ~berserk
Looks good