упростите выражение: x/(x-y)(x-z)+y^2/(y-x)(y-z)+z^2/(z-x)(z-y)​

Ответ:

Объяснение:

x/((x-y)(x-z)) +y²/((y-x)(y-z)) +z²/((z-x)(z-y)​)=x/((x-y)(x-z)) -y²/((x-y)(y-z)) +z²/((x-z)(y-z))=(x(y-z)-y²(x-z)+z²(x-y))/((x-y)(x-z)(y-z))=(xy-xz-xy²+y²z+xz²-yz²)/((x²-xz-xy+yz)(y-z))=(xy-xz-xy²+y²z+xz²-yz²)/(x²y-x²z-xyz+xz²-xy²+xyz+y²z-yz²)=(xy-xz-xy²+y²z+xz²-yz²)/(x²y-x²z+xz²-xy²+y²z-yz²)=(-xy²+xy+xz²-xz+y²z-yz²)/(x²y-xy²-x²z+xz²+y²z-yz²)