Simplify the product using the distributive property.

(4h+6)(4h-7)

First, we distribute the 4h to both terms inside the second parentheses:

4h * 4h = 16h^2
4h * -7 = -28h

Next, we distribute the 6 to both terms inside the second parentheses:

6 * 4h = 24h
6 * -7 = -42

Combining like terms, we have:

16h^2 - 28h + 24h - 42

Simplifying further:

16h^2 - 4h - 42