(x+y-xy-1)^2=(x-1)^2(y-1)^2(x+y-xy-1)^2这步是怎么变到(x-1)^2(y-1)^2这步的?
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![(x+y-xy-1)^2=(x-1)^2(y-1)^2(x+y-xy-1)^2这步是怎么变到(x-1)^2(y-1)^2这步的?](/uploads/image/z/7123752-0-2.jpg?t=%EF%BC%88x%2By-xy-1%29%5E2%3D%28x-1%29%5E2%28y-1%29%5E2%EF%BC%88x%2By-xy-1%29%5E2%E8%BF%99%E6%AD%A5%E6%98%AF%E6%80%8E%E4%B9%88%E5%8F%98%E5%88%B0%28x-1%29%5E2%28y-1%29%5E2%E8%BF%99%E6%AD%A5%E7%9A%84%3F)
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(x+y-xy-1)^2=(x-1)^2(y-1)^2(x+y-xy-1)^2这步是怎么变到(x-1)^2(y-1)^2这步的?
(x+y-xy-1)^2=(x-1)^2(y-1)^2
(x+y-xy-1)^2这步是怎么变到(x-1)^2(y-1)^2这步的?
(x+y-xy-1)^2=(x-1)^2(y-1)^2(x+y-xy-1)^2这步是怎么变到(x-1)^2(y-1)^2这步的?
(x+y-xy-1)^2
=(x(1-y)-(1-y))^2
=((x-1)(1-y))^2
=(x-1)^2(1-y)^2
=(x-1)^2(y-1)^2
x+y-xy-1=-(x-1)(y-1)
由于是2次方所以负号可以不管了
而(ab)^2=a^2*b^2所以。。
x+y-xy-1=(x-xy)+(y-1)=-x(y-1)+(y-1)=-(x-1)*(y-1)
平方即可得到(x-1)^2(y-1)^2
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