Question

Prove that a+b+c÷a^-1×b^-1+b^-1×c^-1+c^-1×a^-1=abc​

Answer 1

Answer:

To prove:a+b+c/(a^-1b^-1+b^-1c^-1+c^-1a^-1)=abc

Proof

LHS

a+b+c/(1/ab+1/bc+1/ca)

a+b+c/(c+a+b)/abc

On taking reciprocal

a+b+c*abc/c+a+b

abc=RHS