If a, b and c are real numbers, and `Delta=|b+cc+a a+b c+a a+bb+c a+bb+cc+a|=0` .Show that either `a" "+" "b" "+" "c" "=" "0" "or" "a" "=" "b" "=" "c` .

Explanation

To solve the problem, we need to analyze the determinant given by:

\[
\Delta = \begin{vmatrix}
b + cc & a & a + b \\
c + a & a + b & b + c \\
a + b & b + c & c + a
\end{vmatrix}
...