一道数学通分题2xy/(x+y)²与x/x²-y²

问题描述:

一道数学通分题
2xy/(x+y)²与x/x²-y²

2xy/(x+y)²=2xy/(x+y)(x+y)=2xy(x-y)/(x+y)(x+y)(x-y)
x/x²-y²=x/(x+y)(x-y)=x(x+y)/(x+y)(x+y)(x-y)

2xy/(x+y) ²= 2xy/((x+y)(x+y))x/(x²-y²)=x/((x+y)(x-y))所以公分母为 (x+y)(x+y)(x-y)所以通分结果为:2xy/(x+y) ² = 2xy(x-y)/((x+y) ²(x-y))x/(x²-y²) = x(x+y)/((x+y) &sup2...