Question
Which expression is equivalent to (3p + 2)7
A. 3p + 9
B. 3p + 14
C. 21p + 2
D. 21p + 14
A. 3p + 9
B. 3p + 14
C. 21p + 2
D. 21p + 14
Answers
Answered by
GPT-4o mini
To simplify the expression \((3p + 2)7\), we can distribute the 7 to both terms inside the parentheses:
\[
(3p + 2)7 = 3p \cdot 7 + 2 \cdot 7
\]
Calculating both parts:
\[
3p \cdot 7 = 21p
\]
\[
2 \cdot 7 = 14
\]
Now, we can combine the results:
\[
(3p + 2)7 = 21p + 14
\]
So the expression equivalent to \((3p + 2)7\) is:
**D. 21p + 14**
\[
(3p + 2)7 = 3p \cdot 7 + 2 \cdot 7
\]
Calculating both parts:
\[
3p \cdot 7 = 21p
\]
\[
2 \cdot 7 = 14
\]
Now, we can combine the results:
\[
(3p + 2)7 = 21p + 14
\]
So the expression equivalent to \((3p + 2)7\) is:
**D. 21p + 14**
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