Đáp án:
Bài `7`:
`a, A = x(x^2 + x) + x(x + 1)`
`= x^2 (x + 1) + x(x + 1)`
`= (x + 1)(x^2 + x)`
`= (x + 1)(x + 1)x`
`= (x + 1)^2 x`
Mà `(x + 1)^2 x` $\vdots$ `(x + 1)`
Vậy `A` $\vdots$ `(x + 1) (đpcm)`
`b, B = xy^2 - yx^2 + xy`
`= xy (y - x + 1)`
Mà `xy(y - x + 1)` $\vdots$ `xy`
Vậy `B` $\vdots$ `xy (đpcm)`
`c, C = x^2 y^3 + x^3 y^3 - xy^2`
`= xy^2 .xy + xy^2 . x^2 y - xy^2 . 1`
`= xy^2 (xy + x^2 y - 1)`
Mà `xy^2 (xy + x^2 y - 1)` $\vdots$ `(x^2 y + xy - 1)`
Vậy `C` $\vdots$ `(x^2 y + xy - 1) (đpcm)`