`a, ( x - 1) ( x^2 + x + 1) `
`= x^3+x^2+x-x^2-x-1`
`= (x^2-x^2)+(x-x)+(x^3-1)`
`=x^3-1(đpcm)`
`b,( x^3 + x^2y + xy^2 +y^3 ) ( x - y ) `
`=x^4-x^3y+x^2y^2+xy^3-x^3y-x^2y^2-xy^3-y^4`
`=(x^3y-x^3y)+(x^2y^2-x^2y^2)+(xy^3-xy^3)+(x^4-y^4)`
`=x^4-y^4(đpcm)`
`( 4x^2 - 2xy + y ) . (-1/2 xy)`
`=[4x^2.(-1/2xy)]-[2xy.(-1/2xy)]+[y.(-1/2xy)]`
`=(-4x^3y)/2+(2x^2y^2)/2-(xy^2)/2`
`=-2x^3y+x^2y^2-(xy^2)/2`