Question

X upon Y + Y upon Z + Z upon X whole square write in expanded form

Answer 1

Hey friend,
Here is the answer you were looking for:
${( \frac{x}{y} + \frac{y}{z} + \frac{z}{x} )}^{2}$

Using the identity :

${(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca$

Putting a = x/y
b = y/z
c = z/x

${( \frac{x}{y} )}^{2} + {( \frac{y}{z} )}^{2} + {( \frac{z}{x} )}^{2} + 2( \frac{x}{y} )( \frac{y}{z} ) + 2( \frac{y}{z} )( \frac{z}{x} ) + 2( \frac{z}{x} )( \frac{x}{y} ) \\ \\ = \frac{ {x}^{2} }{ {y}^{2} } + \frac{ {y}^{2} }{ {z}^{2} } + \frac{ {z}^{2} }{ {x}^{2} } + \frac{2x}{z} + \frac{2y}{x} + \frac{2z}{y}$


Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
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