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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
(x+1)(x﹣1)=x2﹣1 x2﹣4x+4=x(x﹣4)+4 (x+3)(x﹣4)=x2﹣x﹣12 x4﹣16=(x2+4)(x+2)(x﹣2)
x2﹣1 x2+2x﹣1 x2+x+1 4x2+4x+1
a(x+y)=ax+ay; x2-4x+4=x(x-4)+4; 10x2-5x=5x(2x-1); x2-16+3x=(x+4)(x-4)+3x
a(x+y)=ax+ay x2-4x+4=x(x-4)+4 10x2-5x=5x(2x-1) x2-16+6x=(x+4)(x-4)+6x
xy2+x2y=xy(x+y) (x+2)(x-2)=x2-4 b2+4b+3=b(b+4+) a2+5a-3=a(a+5)-3
(a+1)(a-1)=a2-1 a2-6a+9=(a-3)2 x2+2x+1=x(x+2x)+1 -18x4y3=-6x2y2·3x2y
(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