Question

Use the distributive property to rewrite the expression.
3​(7j​)plus3​(9v​)
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Part 1
Choose the expression that represents 3​(7j​)plus3​(9v​) rewritten using the distributive property.
A.left parenthesis 6 right parenthesis left parenthesis 7 j plus 9 v right parenthesis
left parenthesis 6 right parenthesis left parenthesis 7 j plus 9 v right parenthesis
B.3 left parenthesis 7 j plus 9 v right parenthesis
3 left parenthesis 7 j plus 9 v right parenthesis
C.3 left parenthesis 16 jv right parenthesis
3 left parenthesis 16 jv right parenthesis
D.21 j plus 27 v
21 j plus 27 v

Answer 1

To use the distributive property to rewrite the expression \(3(7j) + 3(9v)\), we can factor out the common coefficient of \(3\).

Here’s how it looks:

1. Start with \(3(7j) + 3(9v)\).
2. Factor out the \(3\):
\[3(7j + 9v)\]

Now, let's check which of the options matches this expression:

A. \(6(7j + 9v)\) - This is not correct because we factor out \(3\), not \(6\).

B. \(3(7j + 9v)\) - This is correct as it matches our factored expression.

C. \(3(16jv)\) - This is not correct because \(16jv\) does not represent the original expression.

D. \(21j + 27v\) - This is not factored and represents the expanded form of the original expression.

The correct choice is:

**B. \(3(7j + 9v)\)**