Prove that a+b+c÷a^-1×b^-1+b^-1×c^-1+c^-1×a^-1=abc
Answers
Answered by
5
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
Similar questions