What is the expanded form of (x+3)(x+3)?

To find the expanded form of (x + 3)(x + 3), we can use the distributive property, also known as the FOIL method (First, Outside, Inside, Last).

First, we multiply the first terms: x * x = x². This is the first component of our expanded expression.

Next, we calculate the outside terms: x * 3 = 3x.

Following this, we evaluate the inside terms: 3 * x = 3x as well.

Finally, we multiply the last terms: 3 * 3 = 9.

Now, we combine all of these results:

• From the first multiplication, we have x².
• Adding the outside and inside products gives us 3x + 3x, which equals 6x.
• And from the last multiplication, we have + 9.

When we put it all together, we get: x² + 6x + 9.

This confirms that the correct answer is indeed the expanded form of (x + 3)(x + 3).