Question

of x+1/x = 2, find the value of x cube + 1/x cube​

Answer 1

Answer:

2

Step-by-step explanation:

This is the solution hope that this is helpful :)

Answer 2

Answer:

2

Step-by-step explanation:

Given:

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

To find:

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

We know,

${a}^{3} + {b}^{3} = (a + b) {}^{3} - 3ab(a + b)$

Thus, by placing the values in the formula, we can say:

$x {}^{3} + (\frac{1}{x} ) {}^{3} = (x + \frac{1}{x} ) {}^{3} - 3 \times x \times \frac{1}{x} (x + \frac{1}{x} ) \\ = {2}^{3} - 3 \times 1 \times 2 \\ = 8 - 6 \\ = 2 \: \: (ans.)$

Hope this helps. ^_^