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Question
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
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Solution
We have
`(a/(bc) + b/(ca) + c/(ab))^2 = (a/(bc))^2 + (b/(ca))^2 + (c/(ab))^2 + 2(a/(bc))(b/(ca)) + 2(b/(ca))(c/(ab)) + 2(a/(bc))(c/(ab))`
`[∵ (a + b + c)^2 = a^2 +b^2 + c^2 + 2ab + 2bc + 2ca]`
`∴ (a/(bc) + b/(ca) + c/(ab))^2 = (a^2/(b^2c^2) + b^2/(c^2a^2) + c^2/(a^2b^2) + 2/a^2 + 2/b^2 + 2/c^2)`
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