通分:X/X-Y,Y/X^2=2XY=Y^2,2/Y^2-X^2

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  • 原式是不是x/(x-y);y/(x²+2xy+y²),2/(y²-x²).(以后打+号要按住shift,再按=号)

    分析:二式分母是(x+y)²,

    三式分母是(y+x)(y-x),

    所以通分后公分母应该为(y+x)²(y-x)

    则通分可得:

    x/(x-y)=-x(x+y)²/(y+x)²(y-x).上下同乘以-(x+y)²

    y/(x²+2xy+y²)=y/(x+y)²=y(y-x)/(y+x)²(y-x).上下同乘以(y-x)

    2/(y²-x²)=2/(y-x)(y+x)=2(y+x)/(y+x)²(y-x).上下同乘以(y+x)