Show that `|[a, b-c, c+b] , [a+c, b, c-a] , [a-b, b+a, c]|=(a+b+c)(a^2+b^2+c^2)`

Explanation

To show that the determinant \( |[a, b-c, c+b], [a+c, b, c-a], [a-b, b+a, c]| = (a+b+c)(a^2+b^2+c^2) \), we will follow these steps:

### Step 1: Write the Determinant
We start with the determinant:
\[
D = \begin{vmatrix}
a & b - c & c + b \\
a + c & b & c - a \\
...