# Math Help - Simplify Equation

1. ## Simplify Equation

I am unable to come up with the answer to the key for this problem. Can someone give it a try?

(4x^2+x-6)/(x^2+3x+2)-3x/(x+1)+5/(x+2)

2. Dear sprivitor,

$\frac{4x^2+x-6}{(x+1)(x+2)}-\frac{3x}{x+1}+\frac{5}{x+2}$

$\frac{4x^2+x-6-3x(x+2)+5(x+1)}{(x+1)(x+2)}$

By simplification we would get,

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

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

$\frac{x+1}{x+2}$

Hope this helps.

3. [quote=sprivitor;448278]I am unable to come up with the answer to the key for this problem. Can someone give it a try?
(4x^2+x-6)/(x^2+3x+2)-3x/(x+1)+5/(x+2)
[quote]
Did you realise that x^2+3x+2 = (x+1)(x+2) ?

4. Thank you. I now see my problem was with a simple negative sign.

-3X/(X+1) + 5 / (X+2)

I made the WRONG assumption that this equals

-[3X/(X+1) + 5 / (X+2)]

it is equal to

-[3X/(X+1) - 5 / (X+2)]