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x2+ 1 x2+2x-1 x2+x+1 x2+4x+4
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
(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)
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
x2﹣9+6x=(x+3)(x﹣3)+6x (x+5)(x﹣2)=x2+3x﹣10 x2﹣8x+16=(x﹣4)2 6ab=2a•3b
m(x﹣y)=mx﹣my x2+2x+1=x(x+2)+1 a2+1=a(a+) 15x2﹣3x=3x(5x﹣1)
(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)