Question

If abc = 1 , prove that : 1 / (1+a+b^-1 )+ 1 / (1+a+b^-1) + 1 / (1+c+a^-1 ) = 1



the que which is tick




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Answer 1

Answer:

abc=1

a=1/bc

b=1/ac

c=1/ab

1/1+a+1/b=1/b+ab+1/b

=b/1+b+ab

1/1+b+c^-1=1/1+b+ab

1/1+c+a^-1=1/1+1/ab+1/a=1/ab+a+1/ab=ab/ab+a+1

all are add

ab+b+1/ab+b+1=1