If a,b and c are non- zero real number then prove that
`|{:(b^(2)c^(2),,bc,,b+c),(c^(2)a^(2),,ca,,c+a),(a^(2)b^(2),,ab,,a+b):}| =0`

Explanation

To prove that the determinant

\[
D = \begin{vmatrix}
b^2c^2 & bc & b+c \\
c^2a^2 & ca & c+a \\
a^2b^2 & ab & a+b
\end{vmatrix}
...