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Question
Write the following expression in terms of α + β and αβ
`alpha/(3beta) + beta/(3alpha)`
Solution
`alpha/(3beta) + beta/(3alpha) = (alpha^2 + beta^2)/(3alphabeta)` ...[a2 + b2 = (a + b)2 – 2ab]
= `((alpha + beta)^2 - 2alphabeta)/(3alphabeta)`
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