#### Answer

$$8x^3 - 27$$

#### Work Step by Step

To multiply a binomial with a trinomial, we will use distributive property to multiply each term of the binomial with each term in the trinomial.
$$(2x)(4x^2) + (2x)(6x) + (2x)(9) + (-3)(4x^2) + (-3)(6x) + (-3)(9)$$
Multiply the terms:
$$8x^3 + 12x^2 + 18x - 12x^2 - 18x - 27$$
Group like terms:
$$8x^3 + (12x^2 - 12x^2) + (18x - 18x) - 27$$
Combine like terms:
$$8x^3 - 27$$