Question

(x^5-x)-(y^5-y) разложить многочлен

Answer 1

$( x^{5}-x )( y^{5}-y )=x( x^{4}-1 )y( y^{4}-1 )=$
$=xy( x^{2} +1)(x+1)(x-1)( y^{2}+1 )(y+1)(y-1).$