`e)(3x-1)³-27(x+3)(x²-3x+9)`
`=27x³-27x²+9x-1-27(x³+27)`
`=27x³-27x²+9x-1-27x³-729`
`=(27x³-27x³)-27x²+9x-(1+729)`
`=-27x²+9x-730`
`f)(x-1)(x+2)²+(1-x)³`
`=(x-1)(x²+4x+4)+1-3x+3x²-x³`
`=x³+4x²+4x-x²-4x-4+1-3x+3x²-x³`
`=(x³-x³)+(4x²-x²+3x²)+(4x-4x-3x)+(-4+1)`
`=6x²-3x-3`
`g)(2x+3)²(x²-1)-(2x²-3)²`
`=(4x²+12x+9)(x²-1)-(4x^4-12x²+9)`
`=4x^4-4x²+12x³-12x+9x²-9-4x^4+12x²-9`
`=(4x^4-4x^4)+12x³+(-4x²+9x²+12x²)-12x-(9+9)`
`=12x³+17x²-12x-18`
`h)(x+3y)²-3(2x-y)²`
`=x²+6xy+9y²-3(4x²-4xy+y²)`
`=x²+6xy+9y²-12x²+12xy-3y²`
`=(x²-12x²)+(6xy+12xy)+(9y²-3y²)`
`=-11x²+18xy+6y²`
`i)(x-3)³-(x+1)³-6(x-2)(x+2)`
`=x³-9x²+27x-27-(x³+3x²+3x+1)-6(x²-4)`
`=x³-9x²+27x-27-x³-3x²-3x-1-6x²+24`
`=(x³-x³)-(9x²+3x²+6x²)+(27x-3x)+(-27-1+24)`
=`-18x²+24x-4`
`k)(x+2)(x-1)(x²-2x+4)-(x²+2x)²`
`=(x-1)(x³+8)-(x^4+4x³+4x²)`
`=x^4+8x-x³-8-x^4-4x³-4x²`
`=(x^4-x^4)-(x³+4x³)-4x²+8x-8`
`=-5x³-4x²+8x-8`
