Q13/102) Given abc=1 Show that 1/(1+a+b^-1) + 1/(1+b+c^-1) + 1/(1+c+a^-1) = 1

we have 1/(1+ a + 1/b) = b/(b+ab+1) ...1

1/(1+b+ 1/c) = c/(c+bc+1) = c/(c+bc + abc) ( as 1 = abc)
= 1/( 1+ b+ ab) .. (2)

1/( 1+ c + 1/a) = a/( a+ ac + 1) = ab/( ab + abc + b) = ab/( ab+ 1 + b) ... (3)

adding (1) , (2), (3) we get the result