Answer:
[tex]\textsf{D)} \quad 27x^3+33x^2-x -8[/tex]
Step-by-step explanation:
Given expression:
[tex](9x+8)(3x^2+x-1)[/tex]
Distribute the parentheses:
[tex]\implies 9x \cdot 3x^2+9x \cdot x+ 9x \cdot (-1) + 8 \cdot 3x^2 + 8 \cdot x +8 \cdot(-1)[/tex]
Simplify:
[tex]\implies 27x^3+9x^2-9x + 24x^2 + 8x -8[/tex]
Collect like terms:
[tex]\implies 27x^3+9x^2+ 24x^2-9x + 8x -8[/tex]
Combine like terms:
[tex]\implies 27x^3+33x^2-x -8[/tex]
