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(x+1)(x-1)=x2-1 x2-y2+3=(x+y)(x-y)+3 a2-4=(a-2)2 x2y-xy+x3y=xy(x-1+x2)
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+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)
a2- (2a-b+c)=a2-2a-b+c - (x-y)+(xy-1)=-x-y+xy-1 a- (3b-2c)=a-3b-2c 9y2- [x- (5y+4)]=9y2-x+5y+4
2x﹣x=x2 x+y=xy 2x2﹣x2=x2 6x﹣3x=3
3x+2y= 5xy -y2-y2=0 7x+7x=14x2 7x-7x=0
x2+2xy-y2 -xy+y2 -x2+2xy+y2 x2+xy+y2
﹣(2x+y)=﹣2x+y 2(x﹣y)=2x﹣y 3x﹣(2y+z)=3x﹣2y﹣z x﹣(﹣y+z)=x﹣y﹣z
(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
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)