Wykonaj mnożenie i zredukuj wyrazy podobne a) (x-1)(x³+x²+x+1) b) (x+1)(x³-x²+x-1)

(x-1)(x³+x²+x+1) = x⁴+ x³ + x² + x - x³ - x² - x - 1 = x⁴- 1 (x+1)(x³-x²+x-1) = x⁴ - x³ + x² - x + x³ - x² + x - 1 + x⁴- 1

(x-1)(x³+x²+x+1)=x4+x³+x²+x-(x³+x²+x+1)=x4+x³+x²+x-x³-x²-x-1= x4-1 b (x+1)(x³-x²+x-1) = x4-x3+x2-x+x3-x2+x-1=x4-1

a) x⁴-x³-x²+x-x³-x²-x-1=x⁴-1 redukuje sie x³. x². x b)wychodzi to samo