Срочно!!!! Нужно упростить выражение.

Question

Срочно!!!! Нужно упростить выражение.

---

Answer 1

1)((x+y)/(x-y)-(x²-xy+y²)/(x²+xy+y²)=
=[(x+y)(x²+xy+y²)-(x-y)(x²-xy+y²)/[(x-y)(x²+xy+y²)]=
=(x³+x²y+xy²+xy²+x²y+y³-x³+x²y-xy²=x²y-xy²+y³)/(x³-y³)=
=(4x²+2y³)/(x³-y³)=2y(2x²+y²)/(x³-y³)
2)x(y³-x³)/[y(y²-2x²)(y²+2x²)*2y(2x²+y²)/(x³-y³)=-2x/(y²-2x²)=2x/(2x-y)