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# How to solve?

Prove that $$(6+845^{\frac{1}{3}}+325^{\frac{1}{3}})^{\frac{1}{3}}+(6+847^{\frac{1}{3}}+539^{\frac{1}{3}})^{\frac{1}{3}}=(4+245^{\frac{1}{3}}+175^{\frac{1}{3}})^{\frac{1}{3}}+(8+1859^{\frac{1}{3}}+1573^{\frac{1}{3}})^{\frac{1}{3}}$$

Note by Victor Loh
2 years, 8 months ago

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As a hint, try to write $$6 + 845^{1/3} + 325^{1/3}$$ in the form $$(a + b)^3$$, so $(6 + 845^{1/3} + 325^{1/3})^{1/3} = a + b.$ Do the same for the other terms. · 2 years, 8 months ago