lean_workbook_plus_65249

Apply Holder inequality: ${{\left( \frac{{{a}^{2}}}{b}+\frac{{{b}^{2}}}{c}+\frac{{{c}^{2}}}{a} \right)}^{2}}\left( {{a}^{2}}{{b}^{2}}+{{b}^{2}}{{c}^{2}}+{{c}^{2}}{{a}^{2}} \right)\ge {{\left( {{a}^{2}}+{{b}^{2}}+{{c}^{2}} \right)}^{3}}$