Question

Use the Distributive Property to combine like terms and simplify the expression.

2 left parenthesis 2z plus 4 right parenthesis minus 2 left parenthesis 3z plus 10 right parenthesis
(1 point)
Responses

Negative 14z
Image with alt text: Negative 14z

Negative 2z minus 12
Image with alt text: Negative 2z minus 12

Negative 2z plus 28
Image with alt text: Negative 2z plus 28

Negative 2z plus 14

Answer 1

To simplify the expression using the distributive property, we need to multiply each term inside the parentheses by the term outside the parentheses.

First, we distribute the 2 to the terms inside the first parentheses: 2 * 2z = 4z and 2 * 4 = 8.
Then, we distribute the -2 to the terms inside the second parentheses: -2 * 3z = -6z and -2 * 10 = -20.

The simplified expression is: 4z + 8 - 6z - 20.

Combining like terms, we have: (4z - 6z) + (8 - 20) = -2z - 12.

Therefore, the correct answer is Negative 2z minus 12.