Question

Simplify the product using the distributive property. (7y+8)(9y-4)

Answer 1

To simplify the product using the distributive property, multiply each term in the first parentheses by each term in the second parentheses, then combine like terms.

Step-by-step explanation:

To simplify the product using the distributive property, you need to multiply each term in the first parentheses by each term in the second parentheses. Here's the step-by-step process:

1. Multiply 7y by 9y: 7y * 9y = 63y^2
2. Multiply 7y by -4: 7y * -4 = -28y
3. Multiply 8 by 9y: 8 * 9y = 72y
4. Multiply 8 by -4: 8 * -4 = -32

Now combine like terms:

63y^2 - 28y + 72y - 32

Simplify further:

63y^2 + 44y - 32

So, the simplified product is 63y^2 + 44y - 32.