# Math Help - Algebraic Fraction

1. ## Algebraic Fraction

Simplify:

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

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

Is this correct so far?

2. Your first step should be to do

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

and it will simplify from here

Paul

3. Hi,
Thanks for your help, I never know what to multiply the numerator by as there are a lot of numbers in the denominator. Could you please explain this?

Cheers.

4. Originally Posted by stellina_91
Simplify:

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

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

Is this correct so far?
Should be $
\frac{3(x + 3)}{(x + 4)(x - 2)(x + 3)} - \frac{2(x + 4)}{(x + 4)(x + 3)(x - 2)}
$