Esercizio
$x^3+x^{-3}$
Soluzione passo-passo
Impara online a risolvere i problemi di fattore monomio comune passo dopo passo. x^3+x^(-3). Applicare la formula: a^3+b=\left(a+\sqrt[3]{b}\right)\left(a^2-a\sqrt[3]{b}+\sqrt[3]{b^{2}}\right), dove a=x e b=x^{-3}. Simplify \sqrt[3]{x^{-3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -3 and n equals \frac{1}{3}. Simplify \sqrt[3]{x^{-3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -3 and n equals \frac{1}{3}. Simplify \sqrt[3]{\left(x^{-3}\right)^{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -3 and n equals \frac{2}{3}.
Risposta finale al problema
$\left(x+x^{-1}\right)\left(x^2-1+x^{-2}\right)$