Answer:
A. 4x² - 2x - 1
[tex]distribute \\ 9x^{2} - 8x + 3 - (5 {x}^{2} - 6x + 4) \\ 9x^{2} - 8x + 3 - 5 {x}^{2} - 6x + 4[/tex]
[tex]subtract \: the \: numbers \: ( 3 - 4) \\ 9x^{2} - 8x + 3 \\ 5 {x}^{2} - 6x + 4 \\ = 9 {x}^{2} - 8x - 1 - 5 {x}^{2} + 6x[/tex]
[tex]combine \: like \: terms \: (9 {x}^{2} and \: -5 {x}^{2} ) \\ 9 {x}^{2} - 8x - 1 - 5 {x}^{2} + 6x \\ = 4 {x}^{2} - 8x - 1 + 6x[/tex]
[tex]combne \: like \: terms \: ( - 8x \: and \: 6x) \\ = 4 {x}^{2} - 2x - 1[/tex]
