Term vereinfachen mit Ausklammern: (s+1)(s^2-s+1)-(s-1)(s^2+s-1)+2(1-s)

Question

(s+1)(s²-s+1)-(s-1)(s²+s-1)+2(1-s)

Answer 1

(s + 1)(s^2 - s + 1) - (s - 1)(s^2 + s - 1) + 2(1 - s)

= (s^3 - s^2 + s + s^2 - s + 1) - (s^3 + s^2 - s - s^2 - s + 1) + (2 - 2s)

= (s^3 + 1) - (s^3 - 2s + 1) + (2 - 2s)

= s^3 + 1 - s^3 + 2s - 1 + 2 - 2s

= 2