
化简:(x√y)/(x√y-y√x)-(y√x)/(x√y+y√x),并任选一组你认为合适x,y的值
化简:(x√y)/(x√y-y√x)-(y√x)/(x√y+y√x),并任选一组你认为合适x,y的值代入求值,要详细过程...
化简:(x√y)/(x√y-y√x)-(y√x)/(x√y+y√x),并任选一组你认为合适x,y的值代入求值,要详细过程
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原式=(x√y)(x√y+y√x)/(x√y-y√x)(x√y+y√x)-(y√x)(x√y-y√x)/(x√y+y√x)(x√y-y√x)
=(x²y+xy√xy)/(x²y-y²x)-(xy√xy-xy²)/(x²y-y²x)
=(x²y+xy√xy-xy√xy+xy²)/(x²y-y²x)
=(x²y+xy²)/(x²y-y²x)
=(x+y)/(x-y)
当x=2 y=1 原式=3
=(x²y+xy√xy)/(x²y-y²x)-(xy√xy-xy²)/(x²y-y²x)
=(x²y+xy√xy-xy√xy+xy²)/(x²y-y²x)
=(x²y+xy²)/(x²y-y²x)
=(x+y)/(x-y)
当x=2 y=1 原式=3
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