simplify

**wintersoltice** · August 22nd 2009, 06:57 AM

Simplify the following expression:

$\frac{6v^2+6u^2+12uv}{3vx+3ux+4uw+4vw}$

there are four alphabets used, which are v, u ,x and w.

what i tried to do is

$\frac{6v^2+6u^2+12uv}{3vx+3ux+4uw+4vw}$
= $\frac{6v^2+6u(u+2v)}{(3x+4w)(v+u)}$

then...stuck...

i think it can be further simplified..........

any help is much appreciated....

**mathaddict** · August 22nd 2009, 07:02 AM

Originally Posted by wintersoltice

Simplify the following expression:

$\frac{6v^2+6u^2+12uv}{3vx+3ux+4uw+4vw}$

what i tried to do is

$\frac{6v^2+6u^2+12uv}{3vx+3ux+4uw+4vw}$
= $\frac{6v^2+6u(u+2v)}{(3x+4w)(v+u)}$

then...stuck...

i think it can be further simplified..........

any help is much appreciated....