Using the property of determinants and without expanding, prove that:`|-a^2a b a c b a b^2b cc a c b-c^2|=4a^2b^2c^2`

Explanation

To prove that

\[
\left| \begin{array}{ccc}
-a^2 & a & b \\
a & b^2 & b \\
c & a & c^2
\end{array} \right| = 4a^2b^2c^2
...