If a + b + c = 3 and a = b = c ≠ 1 Find \(\frac{1}{(1 - a) (1 - b)}\) + \(\frac{1}{(1 - b) (1 - c)}\) + \(\frac{1}{(1 - c) (1 - a)}\)

3 6 1 0

0

Here one equation and three variables are given So, put any two = 0 b = c = 0 a + 0 + 0 = 3 a = 3 (put in find) \(\frac{1}{(1 - 3) (1 - 0)}\) + \(\frac{1}{(1 - 0) (1 - 0)}\) + \(\frac{1}{(1 - 0) (1 - 3)}\) - \(\frac{1}{2}\) + 1 - \(\frac{1}{2}\) = 0