Final answer:
To simplify the expression (-6x^3-4x^2-8)(x^3-x^2-9x-4), multiply each term in the first expression by each term in the second expression using the distributive property. Then, simplify each term by multiplying the coefficients and combining like terms.
Step-by-step explanation:
To simplify the expression (-6x^3-4x^2-8)(x^3-x^2-9x-4), we can use the distributive property to multiply each term in the first expression by each term in the second expression. This results in:
-6x^3(x^3-x^2-9x-4) - 4x^2(x^3-x^2-9x-4) - 8(x^3-x^2-9x-4)
We can now simplify each term by multiplying the coefficients and combining like terms. Simplifying further, we obtain:
-6x^6 + 6x^5 - 54x^4 + 52x^3 + 4x^2 - 4x - 8x^3 + 8x^2 + 72x - 64
Combining like terms, the simplified expression is:
-6x^6 + 6x^5 - 62x^4 + 56x^3 + 12x^2 + 78x - 64