Question

please solve this in step by step
Your single answer will be a great help for me​

Answer 1

Answer:

please mark me brainlist ✔️✔️☺️

Answer 2

Step-by-step explanation:

We Know that:-

$(x)^-1=\frac{1}{x}$ , $(y)^-1=\frac{1}{y}$ , $(xy)^-1=\frac{1}{xy}$

To Prove:-

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

Solution:-

$\frac{\frac{1}{x}+\frac{1}{y} }{x+y} =\frac{1}{xy}$

$\frac{\frac{x+y}{xy} }{x+y} =\frac{1}{xy}$

$\frac{(x+y)}{xy}\times\frac{1}{(x+y)} =\frac{1}{xy}$

$\frac{1}{xy}=\frac{1}{xy}$

$LHS=RHS$

Hence Proved...