Question

find the factors of x to the power 5 minus x​

Answer 1

$\boxed{\huge{\textcolor{red}{Solution :-}}}$

$\colorbox{lime}{\textcolor{blue}{Identity \:used :-}}$

$\implies$ A²-B² = (A-b)(a+b)

$= {x}^{5} - x \\ \\ = x( {x}^{4} - 1) \\ \\ = x( {x}^{2} + 1)( {x}^{2} - 1) \\ \\ = x( {x}^{2} + 1)(x + 1)(x - 1)$