Oblicz wartość wyrazenia. (X-1)^2-(x-1)(x+1) dla x= pierwiastek z 3 +1 I oblicz (2+pierwiastek z 3)^2-(2- pierwiastek z 3)^2

[latex]1) (x-1)^2-(x-1)(x+1)=x^2-2x+1-(x^2-1)=\ =x^2-2x+1-x^2+1=-2x+2=-2(x-1)leftrightarrow x= sqrt{3} +1leftrightarrow \ leftrightarrow -2(x-1)=-2(sqrt{3} +1-1)=-2(sqrt{3})=-2sqrt{3}[/latex] [latex]2) (2+ sqrt{3})^2-(2- sqrt{3})^2=(2+sqrt{3}-2+sqrt{3})(2+sqrt{3}+2-sqrt{3})=\ =2sqrt{3}cdot 4=8sqrt{3}[/latex] [latex] oindent ule[0.5cm]{ extwidth}{1pt}[/latex] ///Khan.