if [(a, 1, 1) (1, b, 1) (1, 1, c)} = 0 then show that

Question

If \(\begin{vmatrix}a&1&1\\1&b&1\\1&1&c\end{vmatrix} =0\) then show that \(\frac {1}{1-a}+\frac{1}{1-b} +\frac{1}{1-c}=1\)

[(a, 1, 1) (1, b, 1) (1, 1, c)} = 0 

Answer 1

 \(\begin{vmatrix}a&1&1\\1&b&1\\1&1&c\end{vmatrix} =0\)