Đáp án:

Giải thích các bước giải:

 `(2x -5 )^3 + (2 - x)^3 - (x-3)^3 - (x -3)( 7x^2 - 2052x + 2054)`

`= ( 2x - 5 + 2 - x )[(2x -5)^2 - (2x - 5)(2 - x) + (2-x)^2] - (x-3)[(x-3)^2 + 7x^2 - 2052x + 2054]`
`= (x-3)[4x^2 - 20x + 25 - (4x - 2x^2 - 10 + 5x ) + 4 - 4x + x^2] - (x-3)(x^2 - 6x + 9 + 7x^2 - 2052x + 2054)`
`= (x -3)(5x^2- 24x +29 + 2x^2 - 9x + 10)-(x-3)(8x^2- 2058x + 2063)`
`=(x -3)(7x^2 - 33x + 39 ) -(x-3)(8x^2 - 2058x + 2063)`

`= (x-3)(7x^2 - 33x + 39 - 8x^2 + 2058x - 2063)`

`= (x-3)(-x^2 + 2025x - 2024)`

`= (x-3)(-x^2 + 2024x + x - 2024)`

`= (x-3)[-x(x - 1) + 2024(x -1)]`

`= (x-3)(2024 - x)(x-1)`

`~nhungan~`