Question

Use the distributive property to remove the parentheses: (2 - 3u + 2y)(-8)

Choose the correct expression after applying the distributive property:
a) -16 + 24u - 16y
b) -16 + 24u + 16y
c) 16 - 24u + 16y
d) -16 - 24u - 16y

Answer 1

The correct expression after applying the distributive property to (2 - 3u + 2y)(-8) is -16 + 24u - 16y, which corresponds to choice a).

Step-by-step explanation:

When we use the distributive property to remove the parentheses in the expression (2 - 3u + 2y)(-8), we multiply each term inside the parentheses by -8. Let's do this step by step:

• 2 × (-8) = -16
• -3u × (-8) = 24u
• 2y × (-8) = -16y

After applying the distributive property, we combine the results to get the final expression: -16 + 24u - 16y. Therefore, the correct choice is a) -16 + 24u - 16y.