Question: The image contains the following mathematical expression: \[ x^2 + 6x + 9 \]

The image contains the following mathematical expression:

\[ x^2 + 6x + 9 \]

Solution

Step 1: Start with the quadratic expression. \[ x^2 + 6x + 9 \] Step 2: Identify two numbers that multiply to \(9\) and add up to \(6\). Step 3: The numbers are \(3\) and \(3\). Step 4: Factor the expression using these numbers. \[ (x + 3)(x + 3) \] Step 5: Simplify the factored form. \[ (x + 3)^2 \]