Use the Distributive Property to rewrite 3x(x + 3)

Answer 1

To use the Distributive Property to rewrite \( 3x(x + 3) \), you need to distribute \( 3x \) to both terms inside the parentheses.

Here’s how it works:

\[ 3x(x + 3) = 3x \cdot x + 3x \cdot 3 \]

Now, perform the multiplication for each term:

1. \( 3x \cdot x = 3x^2 \)
2. \( 3x \cdot 3 = 9x \)

Putting it all together, we have:

\[ 3x(x + 3) = 3x^2 + 9x \]

So, the expression rewritten using the Distributive Property is:

\[ 3x^2 + 9x \]