Simplify the product using the distributive property.

Question

(2h-3)(3h+4)

Answer 1

To simplify the product using the distributive property, we will multiply each term in the first expression (2h-3) by each term in the second expression (3h+4).

First, we multiply the first term in the first expression (2h) by each term in the second expression:
2h * 3h = 6h²
2h * 4 = 8h

Next, we multiply the second term in the first expression (-3) by each term in the second expression:
-3 * 3h = -9h
-3 * 4 = -12

Now, we can combine the like terms:
(6h² + 8h) + (-9h - 12)

Finally, combining the like terms, we have:
6h² - h - 12