Using properties of determinants prove that: \( \mathrm{P} \) \[ \l...

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Using properties of determinants prove that:
\( \mathrm{P} \)
\[
\left|\begin{array}{ccc}
a^{2} & b^{2} & c^{2} \\
(a+1)^{2} & (b+1)^{2} & (c+1)^{2} \\
(a-1)^{2} & (b-1)^{2} & (c-1)^{2}
\end{array}\right|=-4(a-b)(b-c)(c-a)
\]
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