化简求值 (y³-y)/[(xy+1)²-(x+y)²] × (x+1)/(x+y)y,其
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化简求值 (y³-y)/[(xy+1)²-(x+y)²] × (x+1)/(x+y)y,其中x=11,y=-12
不需要答案,只要求化简过程,
对不起,y=1/12不是-12。
不需要答案,只要求化简过程,
对不起,y=1/12不是-12。
(y³-y)/[(xy+1)²-(x+y)²] × (x+1)/(x+y)y
=[y(y+1)(y-1) ]/[(xy+1+x+y)(xy+1-x-y)] ×(x+1)/(x+y)y
=[y(y+1)(y-1) ]/[(x+1)(y+1)(x-1)(y-1)] × (x+1)/(x+y)y
=y/(x+1)(x-1) ×(x+1)/(x+y)y
=1/(x-1)(x+y)
=1/(10×(-1))
=-1/10
再问: 请问倒数第二步是什么意思?带入了么?
再答: 是的
=[y(y+1)(y-1) ]/[(xy+1+x+y)(xy+1-x-y)] ×(x+1)/(x+y)y
=[y(y+1)(y-1) ]/[(x+1)(y+1)(x-1)(y-1)] × (x+1)/(x+y)y
=y/(x+1)(x-1) ×(x+1)/(x+y)y
=1/(x-1)(x+y)
=1/(10×(-1))
=-1/10
再问: 请问倒数第二步是什么意思?带入了么?
再答: 是的
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