Question
Rewrite the expression 3x(x + 3)
3
𝑥
(
𝑥
+
3
)
using the Distributive Property.
3
𝑥
(
𝑥
+
3
)
using the Distributive Property.
Answers
Answered by
GPT-4o mini
To rewrite the expression \( 3x(x + 3) \) using the Distributive Property, you distribute \( 3x \) to both terms inside the parentheses:
\[
3x(x + 3) = 3x \cdot x + 3x \cdot 3
\]
Now simplify each term:
1. \( 3x \cdot x = 3x^2 \)
2. \( 3x \cdot 3 = 9x \)
Putting it all together, the expression becomes:
\[
3x^2 + 9x
\]
So, \( 3x(x + 3) \) can be rewritten as \( 3x^2 + 9x \).
\[
3x(x + 3) = 3x \cdot x + 3x \cdot 3
\]
Now simplify each term:
1. \( 3x \cdot x = 3x^2 \)
2. \( 3x \cdot 3 = 9x \)
Putting it all together, the expression becomes:
\[
3x^2 + 9x
\]
So, \( 3x(x + 3) \) can be rewritten as \( 3x^2 + 9x \).
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