Impara online a risolvere i problemi di passo dopo passo. Solve the inequality (x^3-1)/(x-1)<0. Applicare la formula: a^3+b=\left(a-\sqrt[3]{\left|b\right|}\right)\left(a^2+a\sqrt[3]{\left|b\right|}+\sqrt[3]{\left|b\right|^{2}}\right), dove a=x e b=-1. Applicare la formula: \frac{a}{a}=1, dove a=x-1 e a/a=\frac{\left(x-1\right)\left(x^2+x+1\right)}{x-1}. Applicare la formula: x^2+x+c=x^2+x+c+\frac{1}{4}-\frac{1}{4}, dove c=1. Applicare la formula: x^2+x+c+f+g=\left(x+\sqrt{f}\right)^2+c+g, dove c=1, f=\frac{1}{4}, g=-\frac{1}{4} e x^2+x=x^2+x+1+\frac{1}{4}-\frac{1}{4}.

Solve the inequality (x^3-1)/(x-1)<0