Let \(a,b\) and \(c\) be nonzero real numbers such that \(\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = 0.\) Compute \(\frac{bc}{a^2} + \frac{ac}{b^2} + \frac{ab}{c^2}.\)
To be honest, I would just plug in values.
Let a = 2, b = 2, and c = -1.
Then simply solve.