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Question
Write in the expanded form: `(x/y + y/z + z/x)^2`
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Solution
We have
`(x/y + y/z + z/x)^2 = (x/y)^2 + (y/z)^2 + (z/x)^2 + 2. x/y.y/z + 2 y/z. z/x + 2. z/x. x/y`
`[∵ (a + b + c)^2 = a^2 + b^2 + 2ab + c^2 + 3bc + 2ca]`
`∴ (x/y + y/z + z/x)^2 = x^2/y^2 + y^2/z^2 + z^2/x^2 + 2 x/z + 2 y/x + 2 z/y`
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