`#tnvt`
`2,(x-2)^2-(x-5)^2`
`=(x-2-x+5)(x-2+x-5)`
`=3(2x-7)`
`=6x-21`
`3,(x+2)(x^2-2x+4)-(x^3+8)`
`=x^3+2^3-x^3-8`
`=x^3-x^3+8-8`
`=0`
`5,(x-3)(x^2+3x+9)-(x^3-27x)`
`=x^3-3^3-x^3+27x`
`=x^3-x^3+27x-27`
`=27x-27`
`6,(x+y)(x^2-xy+y^2)-(x-y)(x^2+xy+y^2)`
`=x^3+y^3-x^3+y^3`
`=2y^3`