Question
Distribute 2, x, left parenthesis, 2, x, plus, 5, right parenthesis, .2x(2x+5).
Answers
GPT-4o mini
To distribute \( 2x(2x + 5) \), you will multiply \( 2x \) by both terms inside the parentheses:
\[
2x(2x + 5) = 2x \cdot 2x + 2x \cdot 5
\]
Calculating each part:
1. \( 2x \cdot 2x = 4x^2 \)
2. \( 2x \cdot 5 = 10x \)
Now combine these results:
\[
2x(2x + 5) = 4x^2 + 10x
\]
So, the distributed expression is:
\[
\boxed{4x^2 + 10x}
\]
\[
2x(2x + 5) = 2x \cdot 2x + 2x \cdot 5
\]
Calculating each part:
1. \( 2x \cdot 2x = 4x^2 \)
2. \( 2x \cdot 5 = 10x \)
Now combine these results:
\[
2x(2x + 5) = 4x^2 + 10x
\]
So, the distributed expression is:
\[
\boxed{4x^2 + 10x}
\]