[tex]17 .a)(x + 5)(2x - 3) - 2x(x + 4) + (x - 2)(x - 3) = 2x - 3 - 2 {x}^{2} - 8x + {x}^{2} - 3x - 2x + 6 = 3 - {x}^{2} - 11x = - x {}^{2} - 11x + 3[/tex]
[tex]b)(3x + 1)(x - 4) - 3x(x - 4) - (x + 3)(x + 4) = 3 {x}^{2} - 12x + x - 4 - 3 {x}^{2} + 12x - ( {x}^{2} + 4x + 3x + 12) = x - 4 - ( {x}^{2} + 7x + 12) = x - 4 - {x}^{2} - 7x - 12 = - 6x - 16 - {x}^{2} = - x {}^{2} - 6x - 16[/tex]
[tex]c)(x + 4)(2x - 5) + (2x + 3)(x + 1) - 4x(x + 2) = 2x {}^{2} - 5x + 8x - 20 + 2 {x}^{2} + 2x + 3x + 3 - 4 {x}^{2} - 8x = 0 + 0 - 17 = - 17[/tex]
