Question

please solve the above problem​

Answer 1

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➦ Refers To attachment

Answer 2

Answer:

LHS =

$\frac{ {x}^{ - 1} + {y}^{ - 1} }{ {x}^{ - 1} } + \frac{ {x}^{ - 1} - {y}^{ - 1} }{ {y}^{ - 1} }$

$= x( {x}^{ - 1} + {y}^{ - 1} ) + y( {x}^{ - 1} - {y}^{ - 1} )$

$= 1 + x {y}^{ - 1} + y {x}^{ - 1} - 1$

$= \frac{x}{y} + \frac{y}{x}$

$= \frac{ {x}^{2} + {y}^{2} }{xy}$

= RHS

Hence proved.