Question

Simplify:
((x-1))/((x+1))+((x+2))/((x-2))

Answer 1

(x-1)/(x+1) + (x+2)/(x-2)=

[(x-1)(x-2) + (x+2)(x+1)]/(x+1)(x-2)=

(x²-x-2x+2+x²+2x+x+2)/x²-2x-2=

2x²+4/x²-x-2