The given expression is:
[tex](6x^2-3x-6)(4x^2+5x+4)[/tex]Distribute the second polynomial into the first:
[tex]6x^2(4x^2+5x+4)-3x(4x^2+5x+4)-6(4x^2+5x+4)[/tex]Multiply the expressions:
[tex]24x^4+30x^3+24x^2-12x^3-15x^2-12x-24x^2-30x-24[/tex]Simplify the expression:
[tex]\begin{gathered} 24x^4+30x^3-12x^3+24x^2-15x^2-24x^2-12x-30x-24 \\ =24x^4+18x^3-15x^2-42x-24 \end{gathered}[/tex]The answer is:
[tex]24x^4+18x^3−15x^2−42x−24[/tex]