dahaldamodar2058 dahaldamodar2058

28-08-2020
Mathematics

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if X = a^1/3 - a^-1/3 , show that x^3 + 3x = a - 1/a

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Alfpfeu Alfpfeu

28-08-2020

Answer:

Step-by-step explanation:

Hello,

[tex](a^{1/3}-a^{-1/3})^3=a-3a^{1/3}+3a^{-1/3}-\dfrac{1}{a}=-3x+a-\dfrac{1}{a}\\\\<=> x^3+3x=a-\dfrac{1}{a}[/tex]

Thanks

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