n(x+y)=xy 怎么化成:(x-n)(y-n)=n^2

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n(x+y)=xy怎么化成:(x-n)(y-n)=n^2n(x+y)=xy怎么化成:(x-n)(y-n)=n^2n(x+y)=xy怎么化成:(x-n)(y-n)=n^2由n(x+y)=xy可得,-(x

n(x+y)=xy 怎么化成:(x-n)(y-n)=n^2
n(x+y)=xy 怎么化成:(x-n)(y-n)=n^2

n(x+y)=xy 怎么化成:(x-n)(y-n)=n^2

由n(x+y)=xy 可得,
-(x+y)n+xy=0,
则n^2-(x+y)n+xy=n^2
∴(x-n)(y-n)=n^2.

n(x+y)=xy
0=xy-n(x+y)
0=xy-nx-ny
0=n2-n2+xy-nx-ny
n2=n2+xy-nx-ny
n2=(x-n)(y-n)

(x-n)(y-n)=n²
xy-nx-ny+n²-n²=0
xy-n(x+y)=0
即xy=n(x+y)