Rewriting expression

• Nov 16th 2012, 10:13 PM
gralla55
Rewriting expression
I'm really doing a physics problem, and I got to an expression that looks more complicated than I would like. Is there a way to make this fraction look more elegant?

(4bc - ac - ab) / (4bc + ac + ab)

The only thing I tried was to factorize out an "a" above and below, but that didn't really get me anywere. Perhaps it can't be simplyfied, but I thought it wouldn't hurt to post it here anyway.
• Nov 16th 2012, 10:29 PM
earboth
Re: Rewriting expression
Quote:

Originally Posted by gralla55
I'm really doing a physics problem, and I got to an expression that looks more complicated than I would like. Is there a way to make this fraction look more elegant?

(4bc - ac - ab) / (4bc + ac + ab)

The only thing I tried was to factorize out an "a" above and below, but that didn't really get me anywere. Perhaps it can't be simplyfied, but I thought it wouldn't hurt to post it here anyway.

Not sure if this is of any use for you:

$\displaystyle \frac{4bc-ac-ab}{4bc+ac+ab}=1-\frac{2a(c+b)}{4bc+ac+ab}$