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分式通分:x/x-y,y/x平方+2xy+y平方,2/y平方-x平方(完整过程)
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分式通分:x/x-y,y/x平方+2xy+y平方,2/y平方-x平方(完整过程)
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答案和解析
分母分x-y、x²+2xy+y²=(x+y)²、y²-x²=-(x+y)(x-y)
∴公分母:(x+y)²(x-y)
∴x/(x-y)=x*(x+y)(x-y)/[(x+y)²(x-y)]
y/(x²+2xy+y²)=y*(x-y)/[(x+y)²(x-y)]
2/(y²-x²)=-2*(x+y)/[(x+y)²(x-y)]
∴公分母:(x+y)²(x-y)
∴x/(x-y)=x*(x+y)(x-y)/[(x+y)²(x-y)]
y/(x²+2xy+y²)=y*(x-y)/[(x+y)²(x-y)]
2/(y²-x²)=-2*(x+y)/[(x+y)²(x-y)]
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