Question

Use the distributive property to remove the parentheses.

-9(-3u + 6 - 3v²)

A. 27u - 54 + 27v²
B. -27u + 54 + 27v²
C. 27u - 54 - 27v²
D. -27u + 54 - 27v²

Answer 1

By applying the distributive property to the expression -9(-3u + 6 - 3v²), we multiply each term inside the parentheses by -9, resulting in the simplified expression 27u - 54 + 27v².

Step-by-step explanation:

To apply the distributive property and remove the parentheses, you multiply each term inside the parentheses by the factor outside. Here, for the expression -9(-3u + 6 - 3v²), we proceed as follows:

• Multiply -9 by -3u, which gives us 27u.
• Multiply -9 by 6, which gives us -54.
• Multiply -9 by -3v², which gives us 27v².

Combining these, we get the simplified expression 27u - 54 + 27v².

Therefore, the correct answer is A. 27u - 54 + 27v².