prove that: a+b+c/a^-1b^-1+b^-1c^-1+c^-1a^-1=abc
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Answered by
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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
Hence proved
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139
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