Question

Разложите многочлен x^4-x^3+x^2-xy

Answer 1

$=x^2(x^2+1)-x(x^2+y)$

$x^4-x^3+x^2-xy=x(x^3-x^2+x-y)=x(x(x^2-x+1)-y)=$$=x(x(x(x(x-1)+1))-y)$