Math, asked by rubyraja77544, 10 months ago

(xa/xb) a+b-c (xb/xc) b+c-a (xc/xa) c+a-b show that RHS=LHS ​

Answers

Answered by piyushraj17097
3

Answer:

L.H.S. = (xa/xb)1/ab (xb/xc)1/bc (xc/xa)1/ca

= (x a-b)1/b (xb-c)1/bc (xc-a)1/ca

= x a-b/ab xb-c/bc x c-a/ca

{(xa)b = xab}

= x a-b/ab + b-c/bc +c-a/ca

= x (ac – bc + ab – ac + bc – ab)/abc

= x0 = 1 = R.H.S (∵XO = 1)

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