simplify the product using the distributive property. (5h+2)(3h-3)
To simplify the product (5h+2)(3h-3) using the distributive property, we need to apply the distributive property to each term. The distributive property states that for any three numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c.
So, let's apply the distributive property:
(5h+2)(3h-3)
First, we multiply 5h by each term inside the parentheses:
(5h * 3h) + (5h * -3)
This gives us: 15h^2 - 15h.
Next, we multiply 2 by each term inside the parentheses:
(2 * 3h) + (2 * -3)
This gives us: 6h - 6.
Then, we combine the like terms:
(15h^2 - 15h) + (6h - 6)
Combine the like terms:
15h^2 + (6h - 15h) - 6
Simplify the expression inside the parentheses:
15h^2 - 9h - 6
Therefore, using the distributive property, the simplified product of (5h+2)(3h-3) is 15h^2 - 9h - 6.
5h*3h + 2*3h + 5h(-3) + 2(-3)
= 15h^2 + 6h - 15h - 6
= 15h^2 - 9h - 6