Final answer:
To simplify the expression (4x - 6)(3x + 6), apply the distributive property and combine like terms to get 12x^2 + 6x - 36.
Step-by-step explanation:
To simplify the expression (4x - 6)(3x + 6), we need to apply the distributive property of multiplication over addition/subtraction. This means we multiply every term inside the first parentheses by every term inside the second parentheses.
When we do this, we get:
(4x - 6)(3x + 6) = 4x * 3x + 4x * 6 - 6 * 3x - 6 * 6
Simplifying further, we can combine like terms:
(4x - 6)(3x + 6) = 12x^2 + 24x - 18x - 36
Finally, combining like terms again, we get:
(4x - 6)(3x + 6) = 12x^2 + 6x - 36