Question

Demonstrati ca (x² -x +1 )² =x la a 4a - 2x ³ +3x² -2x +1 ,oricare ar fi numarul real x

Answer 1

$\rm (x^2-x+1)^2=(x^2-x+1)(x^2-x+1)=\\ \\ =x^4-x^3+x^2-x^3+x^2-x+x^2-x+1= \\ \\ \bold{x^4-2x^3+3x^2-2x+1}$