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分解因式:x2y﹣4xy+4y=   .

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x3﹣4x2+4x=x(x2+4x+4)    x2y﹣xy2=xy(x﹣y)      x2﹣y2=(x﹣y)(x+y)    x2﹣2xy+y2=(x﹣y)2  
x2+6xy+9y2=(x+3y)2    2x2﹣4xy+9y2=(2x﹣3y)2    2x2﹣8y2=2(x+4y)(x﹣4y)    x(x﹣y)+y(y﹣x)=(x﹣y)(x+y)  
xy(2x-2y)2   2xy(x-y)2   4xy(x2-2xy+y2)   4xy(x-y)2   
x2+y2  ﹣x2﹣y2  x2+4xy+4y2  x2+xy+y2  
x2 –2xy+y2=x(x-2y)+y2  x2-16y2=(x+8y)(x-8y)
  
x2+xy+y2=(x+y)2   x4y4-1=(x2y2+1)(xy+1)(xy-1)  
(y﹣1)(y+1)=y2﹣1  x2y+xy2﹣1=xy(x+y)﹣1   (x﹣2)(x﹣3)=(3﹣x)(2﹣x)  x2﹣4x+4=(x﹣2)2  
-x2-y2 = -(x+y)(x-y)  x2y+2xy+4y = y(x+2)2   -49x2+x2y2 = (xy+7x)(xy-7x)  16x2+4y2-16xy = 4(2x-y)2  

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