2xy-xz6x^2+9x4x^2-9x^2-4x+4x^2-16y^29x^2-6x+12x^2y-8xy+8y
问题描述：
2xy-xz
6x^2+9x
4x^2-9
x^2-4x+4
x^2-16y^2
9x^2-6x+1
2x^2y-8xy+8y
答
2xy-yz=y*(2x-z)
6x^2+9x=3x(2x+3)
4x^2-9=(2x-3)(2x+3)
x^2-4x+4=(x-2)^2
x^2-16y^2=(x-4y)(x+4y)
9x^2-6x+1=(3x-1)^2
2x^2y-8xy+8y 这个式子是不是错了?
答
①2xy-xz=x(2y-z)②6x^2+9x=x(6x+9)=3x(2x+3)③4x^2-9=(2x+3)(2x-3)④x^2-4x+4=(x-2)(x-2)⑤x^2-16y^2=(x+4y)(x-4y)⑥9x^2-6x+1=(3x-1)(3x-1)⑦2x^2y-8xy+8y=y(2x^2-8x+8)=2y(x^2-4x+4)2y(x+2)(x-2)