Answer:
[tex]5 {x}^{2} - 4x - 3[/tex]
Step-by-step explanation:
[tex](8 {x}^{2} - 5x + 1) - (3 {x}^{2} - x + 4) \\ = 8 {x}^{2} - 5x + 1 - 3{x}^{2} + x - 4 \\ = 5 {x}^{2} - 4x - 3[/tex]