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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
f(x,y)=3(x+y)+32xy f(x,y)=3(x+y)-32xy f(x,y)=3(x+y)-16xy f(x,y)=3(x+y)+16xy
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)
3x2y•5xy2=-2x2y -2x2y3•2xy=-2x3y4 28x4y2÷7x3y=4xy (-3a-2)(3a+2)=9a2-4
3a2+a2=3a4 8xy﹣7xy=xy 3x2y﹣xy2=2x2y 3a+b=3ab
8x2y-24xy2=8xy(x-3y); ax+bx+ay+by=x(a+b)+y(a+b) 12x2y+14x2y2-2xy=2xy(6x+7xy-1); x3-8=(x-2)(x2+2x+4)
4x2y2 -4x2y2 -12x3y3 12x3y3
-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