←Vrati se na zadatke1. ZadatakRastavite sljedeći izraz na faktore koji se više ne mogu faktorizirati x(x2−2)+4−12(x+2)2.x(x^2 - 2) + 4 - \frac12(x+2)^2.x(x2−2)+4−21(x+2)2.Prikaži rješenjeRješenjex(x2−2)+4−12(x+2)2=x3−2x+4−12x2−2x−2=x3−4x−12x2+2=x(x2−4)−12(x2−4)=(x2−4)(x−12)=(x−2)(x+2)(x−12).\begin{aligned} x(x^2-2)+4-\frac12(x+2)^2 &=x^3-2x+4-\frac12x^2-2x-2\\ &=x^3-4x-\frac12x^2+2\\ &=x(x^2-4)-\frac12(x^2-4)\\ &=(x^2-4)\left(x-\frac12\right)\\ &=(x-2)(x+2)\left(x-\frac12\right). \end{aligned}x(x2−2)+4−21(x+2)2=x3−2x+4−21x2−2x−2=x3−4x−21x2+2=x(x2−4)−21(x2−4)=(x2−4)(x−21)=(x−2)(x+2)(x−21). ili 12(x−2)(x+2)(2x−1).\frac12(x-2)(x+2)(2x-1).21(x−2)(x+2)(2x−1).Pomakni formulu lijevo ili desno.