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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)
(x+2)(x-2)=x2-4 x2-4y2=(x-2y)(x+2y) x2-4+3x=(x+2)(x-2)+3x 2a(b+c)-3(b+c)=2ab+2ac-3b-3c
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)
x2-4x+4 1+4x2 4y2+4y-1 x2+xy+y2
a (x + y) =a x + a y x2-4x+4=x(x-4)+4 10x2-5x=5x(2x-1) x2-16+3x=(x-4)(x+4)+3x
x2+2xy-y2 x2-xy+4y2 x2-xy+ x2—5xy+10y2
x2+2xy-y2 x2-xy+4y2 x2-xy+ x2—5xy+10y2
x2+4y2 x2-2y+1 -x2+4y2 -x2-4y2
x2+4y2 x2﹣2y2+1 ﹣x2+4y2 ﹣x2﹣4y2
(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
xy2+x2y=xy(x+y) (x+2)(x-2)=x2-4 b2+4b+3=b(b+4+) a2+5a-3=a(a+5)-3