# Equivalent terms

• Jul 10th 2009, 04:50 PM
klooless
Equivalent terms
For some strange reason I don't know how these equal each other;

u^2/ u^2-4 = 1+ 4/ u^2-4

help?
• Jul 10th 2009, 05:26 PM
Unenlightened
Quote:

Originally Posted by klooless
For some strange reason I don't know how these equal each other;

u^2/ u^2-4 = 1+ 4/ u^2-4

help?

$\frac{u^2}{u^2-4} = 1 + \frac{4}{u^2 - 4}$

Multiply both sides by ${u^2 - 4}$
Gives
$u^2 = u^2 - 4 + 4$

Your brackets may have caused some confusion, perhaps...
• Jul 10th 2009, 05:47 PM
klooless
Most likely, yes. but what step is taken to get from the left to the right side?
• Jul 10th 2009, 07:45 PM
skeeter
$\frac{u^2}{u^2-4} = \frac{u^2-4+4}{u^2-4} = \frac{u^2-4}{u^2-4} + \frac{4}{u^2-4} = 1 + \frac{4}{u^2-4}$