`1)16x^2+24x-8xy-6y+y^2`
`=16x^2-4xy+24x - 4xy -6y+y^2`
`= 4x(6+4x-y) -y(4x+6-y)`
`=(6+4x-y)(4x-y).`
`2)x^4+3x^2-9x-27`
Thử đề: `x^4+3x^3-9x-27`
`=x^3(x+3)-9(x+3)`
`=(x^3-9)(x+3).`
`3)x^4+3x^3-9x-9`
`=x^4+3x^3+3x^2-3x^2-9x-9`
`= x^2(x^2+3x+3)-3(x^2+3x+3)`
`=(x^2-3)(x^2+3x+3).`
`4)x^3-3x^2-3x-1-8y^3`
Sửa đề:
`x^3-3x^2+3x-1-8y^3`
`=(x^3-3x^2+3x-1)-8y^3`
`=(x-1)^3-(2y)^3`
`=(x-1-2y)[(x-1)^2+2y(x-1)+4y^2]`
`=(x-1-2y)(x^2-2x+1+2xy-2y+4y^2).`