Question

Спростіть вираз. СРОЧНО ПОМОГИТЕ

Answer 1

Ответ:

$\sqrt[3]{a^2}-\sqrt[3]{b^2}$

Объяснение:

$(a^{\frac{1}{12}}+b^{\frac{1}{12}})(a^{\frac{1}{12}}-b^{\frac{1}{12}})(a^{\frac{1}{6}}+b^{\frac{1}{6}})(a^{\frac{1}{3}}+b^{\frac{1}{3}})=((a^{\frac{1}{12}})^2-(b^{\frac{1}{12}})^2)(a^{\frac{1}{6}}+b^{\frac{1}{6}})(a^{\frac{1}{3}}+b^{\frac{1}{3}})=(a^{\frac{1}{6}}-b^{\frac{1}{6}})(a^{\frac{1}{6}}+b^{\frac{1}{6}})(a^{\frac{1}{3}}+b^{\frac{1}{3}})=((a^{\frac{1}{6}})^2-(b^{\frac{1}{6}})^2)(a^{\frac{1}{3}}+b^{\frac{1}{3}})=(a^{\frac{1}{3}}-b^{\frac{1}{3}})(a^{\frac{1}{3}}+b^{\frac{1}{3}})=$

$=((a^{\frac{1}{3}})^2-(b^{\frac{1}{3}})^2)=a^{\frac{2}{3}}-b^{\frac{2}{3}}=\sqrt[3]{a^2}-\sqrt[3]{b^2}$