Question

Write the following expression in terms of α + β and αβ

`alpha/(3beta) + beta/(3alpha)`

Answer 1

`alpha/(3beta) + beta/(3alpha) = (alpha^2 + beta^2)/(3alphabeta)`  ...[a² + b² = (a + b)² – 2ab]

= `((alpha + beta)^2 - 2alphabeta)/(3alphabeta)`