Oblicz 2(√3-1)^3 - ( √3-1)^2

[latex]2( sqrt{3}-1)^3-( sqrt{3} -1)^2=( sqrt{3} -1)^2*[2( sqrt{3} -1)-1] = \ \ (3-2 sqrt{3} +1)(2 sqrt{3} -2+1)=(4-2 sqrt{3} )(2 sqrt{3} -1)= \ \ 8 sqrt{3} -4-12+2 sqrt{3} =10 sqrt{3} -16[/latex]

[latex]\2( sqrt{3} -1)^3-( sqrt{3} -1)^2= \ \( sqrt{3} -1)^2*[2( sqrt{3} -1)-1]= \ \(3-2 sqrt{3} +1)(2 sqrt{3} -2-1)= \ \(4-2 sqrt{3} )(2 sqrt{3} -3)= \ \8 sqrt{3} -12-4*3+6 sqrt{3} =-24+14 sqrt{3} [/latex]