The value of `(1+i)^4+(1-i)^4` is

Explanation

To find the value of \( (1+i)^4 + (1-i)^4 \), we can follow these steps:

### Step 1: Calculate \( (1+i)^2 \) and \( (1-i)^2 \)

First, we will calculate \( (1+i)^2 \):

\[
(1+i)^2 = 1^2 + 2 \cdot 1 \cdot i + i^2 = 1 + 2i + (-1) = 2i
...