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x(a-b)=ax-bx x2-1+y2=(x-1)(x+1)+y2 x2-1=(x+1)(x-1) ax+bx+c=x(a+b)+c
(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+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)
a2-4ab+4b2=(a-2b)2 ax+ay+a=a(x+y)+a
a2-4ab+4b2=(a-2b)2 ax+ay+a=a(x+y)
x2﹣9+6x=(x+3)(x﹣3)+6x (x+5)(x﹣2)=x2+3x﹣10 x2﹣8x+16=(x﹣4)2 6ab=2a•3b
a2+4a﹣21=a(a+4)﹣21 a2+4a﹣21=(a﹣3)(a+7) (a﹣3)(a+7)=a2+4a﹣21 a2+4a﹣21=(a+2)2﹣25
(a+3)(a-3)=a2-9; a3+b3=(a+b)(a2-ab+b2) a2-4a-5=(a-2)2-9; a2-4a-5=a(a-4)-5