Question
Simplify the following expression by combining like terms. Select the most simplified expression: 6(4-2p) +9p A24−3p24-3p24−3pB24−12p+9p24-12p+9p24−12p+9pC24+12p+9p24+12p+9p24+12p+9pD24+21p24+21p24+21p
Answers
GPT-4o mini
To simplify the expression \( 6(4 - 2p) + 9p \), follow these steps:
1. Distribute the \( 6 \) into the parentheses:
\[
6 \cdot 4 - 6 \cdot 2p = 24 - 12p
\]
2. Now, substitute this back into the expression:
\[
24 - 12p + 9p
\]
3. Combine the like terms (\(-12p\) and \(9p\)):
\[
24 + (-12p + 9p) = 24 - 3p
\]
Thus, the simplified expression is:
\[
24 - 3p
\]
Now, looking at the options you provided, the correct choice is:
\[
\text{A } 24 - 3p
\]
1. Distribute the \( 6 \) into the parentheses:
\[
6 \cdot 4 - 6 \cdot 2p = 24 - 12p
\]
2. Now, substitute this back into the expression:
\[
24 - 12p + 9p
\]
3. Combine the like terms (\(-12p\) and \(9p\)):
\[
24 + (-12p + 9p) = 24 - 3p
\]
Thus, the simplified expression is:
\[
24 - 3p
\]
Now, looking at the options you provided, the correct choice is:
\[
\text{A } 24 - 3p
\]