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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