If complex numbers `z_(1)z_(2)` and `z_(3)` are such that `|z_(1)| = |z_(2)| = |z_(3)|`, then prove that `arg((z_(2))/(z_(1))) = arg ((z_(2) - z_(3))/(z_(1) - z_(3)))^(2)`.

Explanation

To prove that \( \arg\left(\frac{z_2}{z_1}\right) = \arg\left(\frac{z_2 - z_3}{z_1 - z_3}\right)^2 \) given that \( |z_1| = |z_2| = |z_3| \), we can follow these steps:

### Step 1: Understand the Given Condition
Given that \( |z_1| = |z_2| = |z_3| \), we can interpret this geometrically. The complex numbers \( z_1, z_2, z_3 \) lie on a circle centered at the origin in the complex plane.

**Hint:** Visualizing complex numbers on the Argand plane can help in understanding their relationships.

### Step 2: Define the Angles
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