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Step-by-step explanation:
((x^a+b)/(x^a))^a+b.((x^b+c)/x^a)^b-c.((x^c+a)/(x^b)^c-a
=((x^a²-b²).(x^b²-c²).(x^c²-a²)/((x^ac-bc).(x^ab-ac).(x^bc-ab))
=(x^a²-b²+b²-c²+c²-a²)/(x^ac-bc+ab-ac+bc-ab)
=x⁰/x⁰=1
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