Question
Simplify the following expression by combining like terms. Select the most simplified expression:
4(5m+3)+2m4(5m+3)+2m
A
20m+6+2m20m+6+2m20m+6+2m
B
22m+622m+622m+6
C
20m+12+2m20m+12+2m20m+12+2m
D
22m+1222m+1222m+12
Answers
GPT-4o mini
Let's simplify the expression step-by-step:
The expression is:
\[ 4(5m + 3) + 2m \]
First, distribute the \(4\) into the parentheses:
\[ 4 \cdot 5m + 4 \cdot 3 + 2m \]
This simplifies to:
\[ 20m + 12 + 2m \]
Next, combine the like terms (\(20m\) and \(2m\)):
\[ 20m + 2m = 22m \]
Thus, the expression simplifies to:
\[ 22m + 12 \]
Now, let's compare this with the provided choices:
A) \( 20m + 6 + 2m \)
B) \( 22m + 6 \)
C) \( 20m + 12 + 2m \)
D) \( 22m + 12 \)
The most simplified expression matching our result is:
**D) \( 22m + 12 \)**
The expression is:
\[ 4(5m + 3) + 2m \]
First, distribute the \(4\) into the parentheses:
\[ 4 \cdot 5m + 4 \cdot 3 + 2m \]
This simplifies to:
\[ 20m + 12 + 2m \]
Next, combine the like terms (\(20m\) and \(2m\)):
\[ 20m + 2m = 22m \]
Thus, the expression simplifies to:
\[ 22m + 12 \]
Now, let's compare this with the provided choices:
A) \( 20m + 6 + 2m \)
B) \( 22m + 6 \)
C) \( 20m + 12 + 2m \)
D) \( 22m + 12 \)
The most simplified expression matching our result is:
**D) \( 22m + 12 \)**