Question 254717
Here is the problem:
{{{4xy/(x^2-y^2) + (x-y)/(x+y)}}}
step 1 - find the common denominator is x^2 - y^2 or (x+y)(x-y)
step 2 - multiply second fraction by (x-y) to get
{{{4xy/(x^2-y^2) + (x-y)(x-y)/(x^2-y^2)}}}
step 3 - distribute numerator and combine like terms to get
{{{(x^2+2xy+y^2)/(x^2-y^2)}}}
factor the numerator and denominator and reduce to get
{{{((x+y)^2)/((x+y)(x-y))}}}
and then
{{{(x+y)/(x-y)}}}