demonstrati ca (x^2-x+1)^2=x^4-2x^3+3x^2-2x+1

Răspuns :

(x^2-x+1)(x^2-x+1)=x^4-x^3+x^2-x^3+x^2-x+x^2-x+1=x^4-2x^3+3x^2-2x+1
(x^2-x+1)*(x^2-x+1) = x^4-x^3+x^2-x^3+x^2-x+x^2-x+1 = x^4-2x^3+3x^2-2x+1