Question

x+1/x=2 so what is the value of x³+1/x³​

Answer 1

Step-by-step explanation:

$x + \frac{1}{x} = 2$

Cubing on both sides

${(x + \frac{ 1}{x} )}^{3} = 8$

${x}^{3} + \frac{1}{ {x}^{3} } + 3 \times x \times \frac{1}{x} (x + \frac{1}{x} ) = 8$

${x}^{3} + \frac{1}{ {x}^{3}} + 3(2) = 8$

${x}^{3} + \frac{1}{ {x}^{3} } = 8 - 6 = 2$

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