Question: The image contains a mathematical expression. The text transcribed from the image is: \[ (1 +…

The image contains a mathematical expression. The text transcribed from the image is:

\[ (1 + \alpha)^2 = \]

Solution

Step 1 \[ (1 + \alpha)^2 = \] Step 2 \[ = (1 + \alpha)(1 + \alpha) & \] Step 3 \[ = 1 \cdot 1 + 1 \cdot \alpha + \alpha \cdot 1 + \alpha \cdot \alpha & \] Step 4 \[ = 1 + \alpha + \alpha + \alpha^2 & \] Step 5 \[ = 1 + 2\alpha + \alpha^2 & \]