Answer:
[tex]8{x}^{2} - x - 8[/tex]
Step-by-step explanation:
We want to subtract
[tex] - 2 {x}^{2} + 4x - 1[/tex]
from
[tex]6 {x}^{2} + 3x - 9[/tex]
We set up the subtracttion problem to get:
[tex]6 {x}^{2} + 3x - 9 - ( - 2 {x}^{2} + 4x - 1)[/tex]
We expand the parenthesis to get:
[tex]6 {x}^{2} + 3x - 9 + 2 {x}^{2} - 4x + 1[/tex]
Group similar terms:
[tex]6 {x}^{2} + 2 {x}^{2} + 3x- 4x + 1 - 9[/tex]
We simplify to get:
[tex]8{x}^{2} - x - 8[/tex]
