Questions

Simplify: $\rm \frac{2xy}{x^2 - y^2} - \frac{x-y}{x+y} + \frac{x+y}{x-y}$

Simplify: $\rm \frac{x+y}{x-y} - \frac{x-y}{x+y} + \frac{4xy}{x^2 + y^2}$

Simplify: $\rm \frac{(a-b)^2 - c^2}{a^2 - (b+c)^2} + \frac{(b-c)^2 - a^2}{b^2 - (c+a)^2} + \frac{(c-a)^2 - b^2}{c^2 - (a+b)^2}$

Simplify: $\rm \frac{2(a-3)}{(a-4)(a-5)} + \frac{a-1}{(3-a)(a-4)} + \frac{a-2}{(5-a)(a-3)}$

Simplify: $\rm \frac{1}{(x-3)(x+2)} + \frac{3}{(x+2)(4-x)} + \frac{2}{(x-3)(x-4)}$

Simplify: $\rm \frac{2}{(x-2)(x-3)} + \frac{2}{(x-1)(3-x)} + \frac{1}{(1-x)(2-x)}$

Simplify: $\rm \left ( 1 - \frac{2}{m} \right ) \left ( 1 - \frac{1}{m-2} \right ) \left ( 1 - \frac{1}{m-3} \right ) $

Simplify: $\rm \left ( 1 - \frac{1}{p} \right ) \left ( 1 -\frac{1}{p-1} \right ) \left ( 1 + \frac{2}{p-2} \right )$

Simplify: $\rm \frac{a+b}{a-b} - \frac{a-b}{a+b} - \frac{2ab}{a^2-b^2}$

Simplify: $\rm \frac{a-b}{a+b} - \frac{a+b}{a-b} + \frac{2ab}{a^2 - b^2}$