Show that $\det{\begin{vmatrix}a&b-c&c+b\\a+c&b&c-a\\a-b&a+b&c\end{vmatrix}}=(a+b+c)*(a^2+b^2+c^2)$
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What is your question? If you don't know how to calculate determinants, open your book to the section on determinants and it will tell you what to do, step-by-step.