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ab+ac+d=a(b+c)+d a2﹣1=(a+1)(a﹣1) 12ab2c=3ab•4bc (a+1)(a﹣1)=a2﹣1
(3-x)(3+x)=9-x2 -m2+n2=(m+n)(-m+n) (y+1)(y-3)=-(3-y)(y+1) 4yz-2y2z+z=2y(2z-yz)+z
(a-1)(a-2)=a2-3a+2 a2-3a+2=(a-1)(a-2) (a-1)2+(a-1)=a2-a a2-3a+2=(a-1)2-(a-1)
(a+1)(a﹣1)=a2﹣1 (x﹣y)(m﹣n)=(y﹣x)(n﹣m) ab﹣a﹣b+1=(a﹣1)(b﹣1) m2﹣2m﹣3=m(m﹣2)﹣3
x2+5x-1=x(x+5)-1 x2-4+3x=(x+2)(x-2)+3x x2-9=(x+3)(x-3) (x+2)(x-2)=x2-4
(a+1)(a-1)=a2-1 a2-6a+9=(a-3) 2 x2+2x+1=x(x+2)+1 -18x4y3=-6x2y2•3x2y
(3-x)(3+x)=9-x2 -m2+n2=(m+n)(-m+n) 4yz-2y2z+z=2y(2z-yz)+z
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
(a+1)(a-1)=a2-1 a2-6a+9=(a-3)2 x2+2x+1=x(x+2x)+1 -18x4y3=-6x2y2·3x2y