[tex](2x + 5)(2x - 3) - (x - 2)(x - 3) - (3x - 2)(2x + 5)[/tex]
[tex] = (4 {x}^{2} - 6 + 10x - 15) - ( {x}^{2} - 3x - 2x + 6) - ( {6x}^{2} + 15x - 4x - 10)[/tex]
[tex] = {4x}^{2} - 6 + 10x - 15 - {x}^{2} + 3x + 2x - 6 - {6x}^{2} - 15x + 4x + 10[/tex]
[tex] = - 3 {x}^{2} + 4x - 17[/tex]