Given ABC ≠ 0, a + B + C = 0, find the value of a × (1 of B + 1 of C) + B × (1 of C + 1 of a) + C × (1 of a + 1 of B)

Given ABC ≠ 0, a + B + C = 0, find the value of a × (1 of B + 1 of C) + B × (1 of C + 1 of a) + C × (1 of a + 1 of B)

A × (1 of B + 1 of C) = a ^ 2 [(B + C) / ABC] B × (1 of C + 1 of a) = B ^ 2 [(a + C) / ABC] C × (1 of a + 1 of B) = C ^ 2 [(a + b) / ABC] a + B + C = 0, a + B = - C A + C = - B B B B B + C = - AA × (1 of B + 1 of C) + B × (1 of C + 1 of a) + C × (1 of a + 1 of B) = a ^ 2 [(B + C) / ab