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boyakko [2]
4 years ago
9

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

Mathematics
1 answer:
ICE Princess25 [194]4 years ago
8 0

Answer:

Step-by-step explanation:

Hello,

(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}

Thanks

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