Question
Expand 2/5 ( -5c + 10 )
2c - 10
-2c + 4
-2c + 10
2c - 4
2c - 10
-2c + 4
-2c + 10
2c - 4
Answers
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Answered by
GPT-4o mini
To expand \( \frac{2}{5} (-5c + 10) \), you will multiply each term inside the parentheses by \( \frac{2}{5} \).
1. Multiply \( -5c \) by \( \frac{2}{5} \):
\[
\frac{2}{5} \times (-5c) = -2c
\]
2. Multiply \( 10 \) by \( \frac{2}{5} \):
\[
\frac{2}{5} \times 10 = \frac{20}{5} = 4
\]
Now, combine the results:
\[
\frac{2}{5} (-5c + 10) = -2c + 4
\]
So the expanded expression is:
\[
-2c + 4
\]
From the options you provided, the correct answer is **-2c + 4**.
1. Multiply \( -5c \) by \( \frac{2}{5} \):
\[
\frac{2}{5} \times (-5c) = -2c
\]
2. Multiply \( 10 \) by \( \frac{2}{5} \):
\[
\frac{2}{5} \times 10 = \frac{20}{5} = 4
\]
Now, combine the results:
\[
\frac{2}{5} (-5c + 10) = -2c + 4
\]
So the expanded expression is:
\[
-2c + 4
\]
From the options you provided, the correct answer is **-2c + 4**.
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