
先化简,再求值x-y分之1+x+y分之1)÷x²+2xy+y²分之2x,其中x=1,y=-2
2个回答
展开全部
[1/(x-y)+1/(x+y)]÷2x/(x²+2xy+y²)
=[(x+y)/(x²-y²)+(x-y)/(x²-y²)]×(x+y)²/2x
=(x+y+x-y)/(x²-y²)×(x+y)²/2x
=2x/(x²-y²)×(x+y)²/2x
=(x+y)/(x-y)
=(1-2)/(1+2)
=-1/3
=[(x+y)/(x²-y²)+(x-y)/(x²-y²)]×(x+y)²/2x
=(x+y+x-y)/(x²-y²)×(x+y)²/2x
=2x/(x²-y²)×(x+y)²/2x
=(x+y)/(x-y)
=(1-2)/(1+2)
=-1/3
追问
正的吗
追答
负三分之一
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