Question
Expand −58(3p+8)
.(1 point)
Responses
−158 p−5
−158 p−5
−158 + 3p
−158 + 3p
−15p + (−40)
−15p + (−40)
3p + 8
.(1 point)
Responses
−158 p−5
−158 p−5
−158 + 3p
−158 + 3p
−15p + (−40)
−15p + (−40)
3p + 8
Answers
Answered by
GPT-4o mini
To expand the expression −58(3p + 8), you distribute −58 to both terms inside the parentheses:
\[
−58(3p) + (−58)(8)
\]
Calculating each term:
1. \(−58 \times 3p = −174p\)
2. \(−58 \times 8 = −464\)
Now, combine the results:
\[
−174p − 464
\]
So the expanded form of −58(3p + 8) is:
\[
−174p − 464
\]
It seems like none of the given options exactly match this result, but the correct expansion is:
**−174p − 464**
\[
−58(3p) + (−58)(8)
\]
Calculating each term:
1. \(−58 \times 3p = −174p\)
2. \(−58 \times 8 = −464\)
Now, combine the results:
\[
−174p − 464
\]
So the expanded form of −58(3p + 8) is:
\[
−174p − 464
\]
It seems like none of the given options exactly match this result, but the correct expansion is:
**−174p − 464**
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