Question

(Factorize): x^3-1/x​

Answer 1

Solution

$= x {}^{3} - \frac{1}{x} \\ = \frac{x {}^{4} - 1 }{x} \\ = \frac{(x {}^{2}) {}^{2} - 1 {}^{2} }{x} \\ = \frac{(x {}^{2} + 1)(x { }^{2} - 1) }{x} \\ = \frac{1}{x} \times (x {}^{2} + 1)(x - 1)( x+ 1)$

Answer 2

Answer:

${x}^{3} - \frac{1}{x}$

$\frac{ {x}^{4} - x}{x}$

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

${x}^{3} - 1$