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x2﹣y2=(x+y)(x﹣y) x2+6x+9=(x+3)2 x2+xy=x(x+y) x2+y2=(x+y)2
x2-y2=(x+y)(x-y) x2-6x+9=(x-3)2 x2+xy=x(x+y) x2+y2=(x+y)2
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)
12abc-9a2b2=3abc(4-3ab) 3x2y-3xy+6y=3y(x2-x+2y) -a2+ab-ac=-a(a-b+c) x2y+5xy-y=y(x2+5x)
(x+9y)(x-9y) (x+3y)(x-3y) (x-3y)2 (x-9y)2
12abc-9a2b2c=3abc(4-3ab) 3x2y-3xy+6y=3y(x2-x+2y) -a2+ab-ac=-a(a-b+c) x2y+5xy+y=y(x2+5x+1)
x(y2-9) x(y+3)2 x(y+3)(y-3) x(y+9)(y-9)
x(3x+y)(x-3y) 3x(x2-2xy+y2) x(3x-y)2 3x(x-y)2
(x2-y2)+(6y-9) (x2-9)-(y2-6y) x2-(y2-6y+9) (x2+6y)-(y2+9)
12abc-9a2b2=3abc(4-3ab) 3x2y-3xy+6y=3y(x2-x+2y) -a2+ab-ac=-a(a-b+c) x2y+5xy-y=y(x2+5x)