Question

If a/b+b/a=1 then the value of a^3-b^3

Answer 1

Answer:

a/b - b/a = a² - b² / ab = 1

∴ a² - b² = ab

a³ - b³ = (a - b)(a² + b² + ab)

          = (a - b)(a² + b² + a² - b²)

          = (a - b)(2a²)

∴ ANSWER = 2a²(a - b)

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