4xy/x^2-y^2 + x-y/x+y

the answer is x+y/x-y

im completely lost on this particular problem.

if someone can point me in the correct direction here that would be great, somehow i got 4+x-y/(x-y)^2

- Nov 18th 2010, 04:44 PMNecroWinterhelp finding the common denominator with this rational expression
4xy/x^2-y^2 + x-y/x+y

the answer is x+y/x-y

im completely lost on this particular problem.

if someone can point me in the correct direction here that would be great, somehow i got 4+x-y/(x-y)^2 - Nov 18th 2010, 04:54 PMskeeter
- Nov 18th 2010, 04:58 PMharish21
$\displaystyle \dfrac{4xy}{x^2-y^2} + \dfrac{x-y}{x+y}$

$\displaystyle = \dfrac{4xy}{(x+y)(x-y)}+ \dfrac{x-y}{x+y}$

$\displaystyle =\dfrac{4xy+(x-y)(x-y)}{(x+y)(x-y)}$

$\displaystyle =\dfrac{4xy+(x-y)^2}{(x+y)(x-y)}$

simplify the numerator.. - Nov 18th 2010, 05:27 PMNecroWinter
- Nov 18th 2010, 05:29 PMskeeter
- Nov 18th 2010, 05:34 PMNecroWinter
- Nov 18th 2010, 05:38 PMskeeter