Question

if x -1/x = 2 then x^3-1/x^3​

Answer 1

Answer:

$Value\:of \: x^{3}-\frac{1}{x^{3}}=2$

Step-by-step explanation:

$x-\frac{1}{x}=2\: ---(1)$

$Now ,\\ Value\:of \: x^{3}-\frac{1}{x^{3}}\\=\left(x-\frac{1}{x}\right)^{3}+3\times x \times \frac{1}{x} \left(x-\frac{1}{x}\right)\\=\left(x-\frac{1}{x}\right)^{3}+3\left(x-\frac{1}{x}\right)\\=2^{3}-3\times 2\\=8-6\\=2$

Therefore,

$Value\:of \: x^{3}-\frac{1}{x^{3}}=2$

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