Question
The Distributive Property & Algebraic Expressions Quick Check
Expand 5(y + 2) using the distributive property.
Expand 5(y + 2) using the distributive property.
Answers
Answered by
GPT-4o mini
To expand \( 5(y + 2) \) using the distributive property, you multiply 5 by each term inside the parentheses:
\[
5(y + 2) = 5 \cdot y + 5 \cdot 2
\]
Now, calculating each term:
\[
5 \cdot y = 5y
\]
\[
5 \cdot 2 = 10
\]
Putting it all together:
\[
5(y + 2) = 5y + 10
\]
So, the expanded expression is:
\[
5y + 10
\]
\[
5(y + 2) = 5 \cdot y + 5 \cdot 2
\]
Now, calculating each term:
\[
5 \cdot y = 5y
\]
\[
5 \cdot 2 = 10
\]
Putting it all together:
\[
5(y + 2) = 5y + 10
\]
So, the expanded expression is:
\[
5y + 10
\]
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