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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
3 years, 5 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.

Jon Haussmann - 3 years, 5 months ago

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