x³-xy²/x³+2x²y+xy² 与x²-y²/x(x+3y)+y(y-x) 急、、、、

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x³-xy²/x³+2x²y+xy² 与x²-y²/x(x+3y)+y(y-x) 急、、、、
x³-xy²/x³+2x²y+xy² 与x²-y²/x(x+3y)+y(y-x) 急、、、、

x³-xy²/x³+2x²y+xy² 与x²-y²/x(x+3y)+y(y-x) 急、、、、
(x³-xy²)/(x³+2x²y+xy²)
=[x(x²-y²)]/[x(x²+2xy+y²)]
=[x(x-y)(x+y)]/[x(x-y)²]
=(x+y)/(x-y)
(x²-y²)/[x(x+3y)+y(y-x)]
=(x-y)(x+y)/[x²+3xy+y²-xy]
=(x-y)(x+y)/[x²+2xy+y²]
=(x-y)(x+y)/(x+y)²
=(x-y)/(x+y)