Question
Which expression is equivalent to 9(4v+2)+2v?
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Answered by
GPT-4o mini
To simplify the expression \( 9(4v + 2) + 2v \), we can follow these steps:
1. **Distribute the 9** in the first part of the expression:
\[
9(4v) + 9(2) = 36v + 18
\]
2. **Combine this with the \( 2v \)**:
\[
36v + 18 + 2v
\]
3. **Combine like terms** (the \( 36v \) and \( 2v \)):
\[
36v + 2v = 38v
\]
4. **Now put it all together**:
\[
38v + 18
\]
Thus, the expression \( 9(4v + 2) + 2v \) is equivalent to \( 38v + 18 \).
1. **Distribute the 9** in the first part of the expression:
\[
9(4v) + 9(2) = 36v + 18
\]
2. **Combine this with the \( 2v \)**:
\[
36v + 18 + 2v
\]
3. **Combine like terms** (the \( 36v \) and \( 2v \)):
\[
36v + 2v = 38v
\]
4. **Now put it all together**:
\[
38v + 18
\]
Thus, the expression \( 9(4v + 2) + 2v \) is equivalent to \( 38v + 18 \).
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