Question
Simplify the following expression by combining like terms. Select the most simplified expression:
6(4−2p)+9p6(4−2p)+9p
A
24−3p24-3p24−3p
B
24−12p+9p24-12p+9p24−12p+9p
C
24+12p+9p24+12p+9p24+12p+9p
D
24+21p24+21p24+21p
Answers
GPT-4o mini
To simplify the expression \( 6(4 - 2p) + 9p \), follow these steps:
1. Distribute \(6\) into the parentheses:
\[
6(4) - 6(2p) = 24 - 12p
\]
2. Now add \(9p\) to this result:
\[
24 - 12p + 9p
\]
3. Combine the like terms (\(-12p + 9p\)):
\[
24 - 3p
\]
So, the most simplified expression is:
\[
\boxed{24 - 3p}
\]
The correct answer is A: \(24 - 3p\).
1. Distribute \(6\) into the parentheses:
\[
6(4) - 6(2p) = 24 - 12p
\]
2. Now add \(9p\) to this result:
\[
24 - 12p + 9p
\]
3. Combine the like terms (\(-12p + 9p\)):
\[
24 - 3p
\]
So, the most simplified expression is:
\[
\boxed{24 - 3p}
\]
The correct answer is A: \(24 - 3p\).