oblicz
x(2x - 1)potega 2 - 2x(x+1)(x-1)=
(pierwiastek 2+1)(pierwiastek2-1)=
(8-5 pierwiastek3)(8+5 pierwiastek3)=
x(2x-1)^2-2x(x+1)(x-1)=x(4x^2-4x+1)-2x(x^2-1)=4x^3-4x^2+x-2x^3+2x=2x^3-4x^2+3x
(pierwiastek z 2+1)(pierwiastek z 2-1)=2-1=1
(8-5 pierwiastków z 3)(8+5 pierwiastków z 3)=64-25*3=64-75=-11
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x(2x-1)^2-2x(x+1)(x-1)=x(4x^2-4x+1)-2x(x^2-1)=4x^3-4x^2+x-2x^3+2x=2x^3-4x^2+3x
(pierwiastek z 2+1)(pierwiastek z 2-1)=2-1=1
(8-5 pierwiastków z 3)(8+5 pierwiastków z 3)=64-25*3=64-75=-11