`1, -3x(x+2)^2+(x+3)(x-1)(x+1)-(2x-3)^2`
`=-3x(x^2 + 4x + 4) + (x+3)(x^2 - 1) - (4x^2 - 12x + 9)`
`= -3x^3 - 12x^2 - 12x + x^3 + 2x - 3 - 4x^2 + 12x – 9`
`= (-3x^3 + x^3)-(12x^2+4x^2)-(12x+12x+2x)-(3+9)`
`= -2x^3-16x^2+2x-12`
`2, (x-3)(x+3)(x+2) - (x-1)(x^2 - 3) - 5x(x+4)^2 - (x-5)^2`
`=(x^2 - 9)(x+2) - (x^3 - 3x - x^2 + 3) - 5x(x^2 + 8x + 16) - (x^2 - 10x + 25)`
`=x^3 + 2x^2 - 9x - 18 - x^3 + 3x + x^2 - 3 - 5x^3 - 40x^2 - 80x - x^2 + 10x – 25`
`=-5x^3 - 38x^2 - 76x – 46`
`3, 2x(x-4)^2 - (x+5)(x-2)(x+2) + 2(x+5)^2 - (x-1)`
`=2x(x^2 - 8x + 16) - (x^2 - 4)(x+5) + 2(x^2 + 10x + 25) - (x-1)`
`=2x^3 - 16x^2 + 32x - x^3 - 4x + 5x^2 + 20x + 2x^2 + 20x + 50 - x + 1`
`=x^3 - 9x^2 + 47x + 51`
`4, -2x(3x+2)(3x-2) + 5(x+2)^2 - (x-1)(2x-1)(2x+1)`
`= -2x(9x^2 - 4) + 5(x^2 + 4x + 4) - (x-1)(4x^2 - 1)`
`=-18x^3 + 8x + 5x^2 + 20x + 20 - (4x^3 - x - 4x^2 + 1)`
`=-18x^3 + 8x + 5x^2 + 20x + 20 - 4x^3 + x + 4x^2 – 1`
`= -22x^3 + 9x^2+29x+19`
`5, -6x^2(x+5)^2 - (x-3)^2 + (x^2-2)(2x^2+1) - 4x^2(3x-4)^2`
`= -6x^2(x^2 + 10x + 25) - (x^2 - 6x + 9) + (2x^4 + x^2 - 4x^2 - 2) - 4x^2(9x^2 - 24x + 16)`
`= -6x^4 - 60x^3 - 150x^2 - x^2 + 6x - 9 + 2x^4 - 3x^2 - 2 - 36x^4 + 96x^3 - 64x^2`
`= -40x^4 + 36x^3 - 218x^2 + 6x – 11`
`6, (x+5)^2 - 4x(2x+3)^2 - (2x-1)(x+3)(x-3)`
`= x^2 + 10x + 25 - 4x(4x^2 + 12x + 9) - (2x-1)(x^2 - 9)`
`= x^2 + 10x + 25 - 16x^3 - 48x^2 - 36x - (2x^3 - 18x - x^2 + 9)`
`= x^2 + 10x + 25 - 16x^3 - 48x^2 - 36x - 2x^3 + 18x + x^2 – 9`
`= -18x^3 - 46x^2 - 8x + 16`
`7, (7x-8)(7x+8) - 10(2x+3)^2 + 5x(3x-2)^2 - 4x(x-5)^2`
`= 49x^2 - 64 - 40x^2 - 120x - 90 + 45x^3 - 60x^2 + 20x - 4x^3 + 40x^2 - 100x`
`= (45x^3 - 4x^3) + (49x^2 - 40x^2 - 60x^2 + 40x^2) + (-120x + 20x - 100x)- (64+90)`
`= 41x^3 - 11x^2 - 200x – 154`