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Answer :
Let's solve the expression step by step:
1. Distribute the 6 inside the parentheses:
[tex]\[
6(8c + 2) = 6 \times 8c + 6 \times 2
\][/tex]
This simplifies to:
[tex]\[
48c + 12
\][/tex]
2. Add the remaining 5 to the expression:
[tex]\[
48c + 12 + 5
\][/tex]
Combine the constants (12 and 5):
[tex]\[
48c + 17
\][/tex]
Therefore, the expression equivalent to [tex]\( 6(8c + 2) + 5 \)[/tex] is [tex]\( 48c + 17 \)[/tex].
So, the correct choice is the first option: [tex]\( 48c + 17 \)[/tex].
1. Distribute the 6 inside the parentheses:
[tex]\[
6(8c + 2) = 6 \times 8c + 6 \times 2
\][/tex]
This simplifies to:
[tex]\[
48c + 12
\][/tex]
2. Add the remaining 5 to the expression:
[tex]\[
48c + 12 + 5
\][/tex]
Combine the constants (12 and 5):
[tex]\[
48c + 17
\][/tex]
Therefore, the expression equivalent to [tex]\( 6(8c + 2) + 5 \)[/tex] is [tex]\( 48c + 17 \)[/tex].
So, the correct choice is the first option: [tex]\( 48c + 17 \)[/tex].
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