Question

Вычислить (3^1/3-1)*(3^2/3+3^1/3+1)

Answer 1

$displaystyle (3^{ frac{1}{3}}-1)(3^{ frac{2}{3}}+3^{ frac{1}{3}}+1)=(3^{ frac{1}{3}}-1)((3^{ frac{1}{3}})^{2}+3^{ frac{1}{3}}+1)= \ =(3^{ frac{1}{3}})^{3}-1=3-1=2;$