Rewrite the expression 3x(x+3) using the distributive property.

Answer 1

To rewrite the expression \(3x(x + 3)\) using the distributive property, you multiply \(3x\) by each term inside the parentheses:

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

Now, calculate each term:

\[ 3x \cdot x = 3x^2 \] \[ 3x \cdot 3 = 9x \]

Putting it all together, we have:

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

So the expression \(3x(x + 3)\) rewritten using the distributive property is:

\[ 3x^2 + 9x \]