Đáp án:
`=(5x^2-2x+2)(x-1)(5x+3)`
Giải thích các bước giải:
`(5x^2-2x)^2+2x-5x^2-6`
`=(5x^2-2x)^2-(5x^2-2x)-6`
Đặt `5x^2-2x=a`
`=>(5x^2-2x)^2+2x-5x^2-6`
`=a^2-a-6`
`=a^2+2a-3a-6`
`=a(a+2)-3(a+2)`
`=(a+2)(a-3)`
Thay `5x^2-2x=a`
`=>(5x^2-2x)^2+2x-5x^2-6`
`=(5x^2-2x+2)(5x^2-2x-3)`
`=(5x^2-2x+2)(5x^2-5x+3x-3)`
`=(5x^2-2x+2)[5x(x-1)+3(x-1)]`
`=(5x^2-2x+2)(x-1)(5x+3)`