AB is equal to 1. Find a plus 1 / a plus B plus 1 / b

Original formula = A / (a + 1) + B / (1 + b)
=(a+ab+b+ab)/(1+a)(1+b)
=(a+b+2ab)/(1+a+b+ab)
=(a+b+2)/(1+a+b+1)
=(a+b+2)/(a+b+2)
=1

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