Đáp án+Giải thích các bước giải:
`a)x^3-4x^2+12x-27`
`=x^3-27-4x^2+12x`
`=(x-3)(x^2+3x+9)-4x(x-3)`
`=(x-3)(x^2+3x-4x+9)`
`=(x-3)(x^2-x+9)`
`b)x^2-2x-4y^2-4y`
`=x^2+4xy+4y^2-2x-4y-4xy-8y^2`
`=(x+2y)^2-2(x+2y)-4y(x+2y)`
`=(x+2y)(x+2y-2-4y)`
`=(x+2y)(x-2y-2)`
`c)x^4+2x^3-4x-4`
`=x^4+2x^3+2x^2-2x^2-4x-4`
`=x^2(x^2+2x+2)-2(x^2+2x+2)`
`=(x^2+2x+2)(x^2-2)`
`d)ab(a+b)-bc(b+c)+ac(a-c)`
`=a^2b+ab^2-bc(b+c)+a^2c-ac^2`
`=-bc(b+c)+a^2(b+c)+a(b^2-c^2)`
`=-bc(b+c)+a^2(b+c)+a(b-c)(b+c)`
`=(b+c)(-bc+a^2+ab-ac)`
`=(b+c)[a(a+b)-c(a+b)]`
`=(b+c)(a+b)(a-c)`.