`a)`
`x(2x^2-3)-x^2(5x+1)+x^2`
`=2x^3-3x-5x^3-x^2+x^2`
`=(2x^3-5x^3)+(x^2-x^2)-3x`
`=-3x^3-3x`
`b)`
`3x(x-2)-5x(1-x)-8(x^3-3)`
`=3x^2-6x-5x+5x^2-8x^3+24`
`=-8x^3+(3x^2+5x^2)-(6x+5x)+24`
`=-8x^3+8x^2-11x+24`
`c)`
`1/2x^2(6x-3)-x(x^2+1)+(x+4)`
`=3x^3-3/2x^2-x^3-x+x+4`
`=(3x^3-x^3)-3/2x^2+(x-x)+4`
`=2x^2-3/2x^2+4`