The simplified expression is:
[tex]-2x^2+5x-9[/tex]
We are asked to simplify the algebraic expression i.e. we are asked to subtract two algebraic expression which are in terms of variable x as:
[tex](2x^2+4x-8)-(4x^2-x+1)[/tex]
On taking out the terms from the second bracket the sign gets interchanged as follows:
[tex]2x^2+4x-8-4x^2+x-1[/tex]
Now on combining the like terms and solving them we get:
[tex]=2x^2-4x^2+4x+x-8-1\\\\=-2x^2+5x-9[/tex]
