Answer:
[tex]2x^{3}-4x^{2}+24x-15[/tex]
Step-by-step explanation:
we have
[tex](2x^{3}+9x-8)-(4x^{2}-15x+7)[/tex]
step 1
Eliminate the parenthesis
[tex]2x^{3}+9x-8-4x^{2}+15x-7[/tex]
step 2
group terms that contain the same variable
[tex]2x^{3}-4x^{2}+(9x+15x)+(-8-7)[/tex]
step 3
Combine like terms
[tex]2x^{3}-4x^{2}+24x-15[/tex]