Question

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

Answer 1

Answer:

Step-by-step explanation:

Hello,

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

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