To determine which expression represents "the sum of [tex]\( n \)[/tex] and the sum of 8 and 6," we need to break down the problem into smaller steps.
1. Sum of 8 and 6:
- First, we need to add the numbers 8 and 6 together.
- [tex]\( 8 + 6 = 14 \)[/tex]
2. Sum of [tex]\( n \)[/tex] and the result from step 1:
- Next, we need to add the variable [tex]\( n \)[/tex] to the result obtained from the previous step.
- This can be written as: [tex]\( n + 14 \)[/tex]
Now, let's compare this with the given expressions:
1. [tex]\( n(8+6) \)[/tex]:
- This expression means [tex]\( n \)[/tex] multiplied by the sum of 8 and 6, not added to it.
- [tex]\( n(14) \)[/tex] which is equal to [tex]\( 14n \)[/tex].
- This does not match [tex]\( n + 14 \)[/tex].
2. [tex]\( n + (8+6) \)[/tex]:
- This expression means [tex]\( n \)[/tex] added to the sum of 8 and 6.
- Simplifying inside the parentheses first: [tex]\( 8 + 6 = 14 \)[/tex].
- Thus, the expression becomes [tex]\( n + 14 \)[/tex], which matches our desired result.
3. [tex]\( (n+6)8 \)[/tex]:
- This expression indicates 8 multiplied by the sum of [tex]\( n \)[/tex] and 6.
- Written out, this would be [tex]\( 8(n+6) \)[/tex], or [tex]\( 8n + 48 \)[/tex].
- This also does not match [tex]\( n + 14 \)[/tex].
Based on the comparison, the correct expression that represents "the sum of [tex]\( n \)[/tex] and the sum of 8 and 6" is:
[tex]\[ n + (8 + 6) \][/tex]
Therefore, the correct answer is:
[tex]\[ 2 \][/tex]
