Add XU/X2-U2+U/X+U Simplify your answer. Type your answer in factored form.

I am assuming the question is in the following form:

xu/(x

^{2}-u^{2}) + u/(x+u)1. Cross multiply to get a common denominator and add the two together.

[xu(x+u) +

**u(x**] / [(x^{2}-u^{2})^{2}-u^{2})(x+u)]2. Notice the bold section in the numerator above. We can factor out

(x2-u2) to -> (x+u)(x-u)

2a. Our equation now looks like

[xu(x+u) + u((x-u)(x+u))] / [(x

^{2}-u^{2})(x+u)]3. Cancel out (x+u) from the numerator and denominator.

[xu(x+u) + u((x-u)(x+u))] / [(x

^{2}-u^{2})(x+u)]4. Simplify your numerator and factor the denominator which gives our final answer of:

**[u(2x-u)]/[(x-u)(x+u)]**