If cos^(-1)α+ cos^(-1)β+cos^(-1)γ=3π, then find the value of α(β+γ)+ β(γ+α)+γ(α+β).
You asked:
Given \(\arccos\left( α \right) + \arccos\left( β \right) + \arccos\left( γ \right) = 3 \cdot \pi\) evaluate the expression \(α \cdot \left(β + γ\right) + β \cdot \left(γ + α\right) + γ \cdot \left(α + β\right)\).