Question

prove the following​

Answer 1

LHS:-

$\frac{x + y + z}{ \frac{1}{xy} + \frac{1}{yz} + \frac{1}{zx} }$

=> $\frac{x + y + z}{ \frac{z + x + y}{xyz} }$

=> $\frac{x + y + z}{1} \div \frac{x + y + z}{xyz}$

=> $\frac{x + y + z}{1} \times \frac{xyz}{x + y + z}$

=>xyz = RHS

Cheers!