Prove that ∣∣∣∣∣bc−a2ca−b2ab−c2ca−b2ab−c2bc−a2ab – InterviewSolution

1.	Prove that ∣∣∣∣∣bc−a2ca−b2ab−c2ca−b2ab−c2bc−a2ab−c2bc−a2ca−b2∣∣∣∣∣ is divisible by (a+b+c) and find the quotient.
Answer» Prove that $∣ ∣∣∣ ∣ \begin{matrix} b c - a^{2} & c a - b^{2} & a b - c^{2} c a - b^{2} & a b - c^{2} & b c - a^{2} a b - c^{2} & b c - a^{2} & c a - b^{2} \end{matrix} ∣ ∣∣∣ ∣$ is divisible by (a+b+c) and find the quotient.

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