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Rezolvati expresia E(x)= (x^2- x+ 1)^2- (x^2- x)^2- x^2

Răspuns :

Kawaiimathask

E(x)= (x^2- x+ 1)^2- (x^2- x)^2- x^2

notăm x²-x cu y

E(x) =(y-1)²-y²-x²

E(x)=(y-1+y)(y-1-y)-x²

E(x)=(2y-1)*(-1)-x²

E(x)=-2y+1-x²

E(x) =-2(x²-x)+1-x²

E(x)=-2x²-2x+1-x²

E(x)=-3x²-2x+1

E(x) =-3x²-3x+x+1

E(x)=-3x(x+1)+(x+1)

E(x)=(-3x+1)(x+1)

Kawaiimath

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