`#Sad`
`\text{Ta có:}`
`x = y+1`
`⇔ y = x-1`
`\text{→Chứng minh:}`
`x^3-y^3-3xy = 1`
`\text{Ta có:}`
`x^3-y^3-3xy`
`\text{Thay}` `y = x-1` `\text{vào ta có:}`
`= x^3-(x-1)^3-3. x. (x-1)`
`= x^3-x^3+3x^2-3x+1-3x^2+3x`
`= (x^3-x^3)+(3x^2-3x^2)+(-3x+3x)+1`
`= 1` `\text{(đpcm)}`