Required expression = {(3x2 - 5x + 2) + (- 5x2 - 8x + 9)} - (4x2 - 7x + 9)
= {3x2 - 5x + 2 - 5x2 - 8x + 9} - (4x2 - 7x + 9)
= {3x2 - 5x2 - 5x - 8x + 2 + 9} - (4x2 - 7x + 9)
= {- 2x2 - 13x +11} - (4x2 - 7x + 9)
= - 2x2 - 13x + 11 - 4x2 + 7x - 9
= - 2x2 - 4x2 - 13x + 7x + 11 - 9
= - 6x2 - 6x + 2