| Resolviendo |
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Descomponiendo: |
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$\left(\sqrt[\textstyle 3]{16}-\sqrt[\textstyle 3]{54}+\sqrt[\textstyle 3]{250}\right)^{\textstyle 3}$ |
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$\left(\sqrt[\textstyle 3]{8 \times 2}-\sqrt[\textstyle 3]{27 \times 2}+\sqrt[\textstyle 3]{125 \times 2}\right)^{\textstyle 3}$ |
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Separando raíces: |
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$\left(\sqrt[\textstyle 3]{8}\sqrt[\textstyle 3]{2}-\sqrt[\textstyle 3]{27}\sqrt[\textstyle 3]{2}+\sqrt[\textstyle 3]{125}\sqrt[\textstyle 3]{2}\right)^{\textstyle 3}$ |
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$\left(2\sqrt[\textstyle 3]{2}-3\sqrt[\textstyle 3]{2}+5\sqrt[\textstyle 3]{2}\right)^{\textstyle 3}$ |
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Factorizando: |
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$\left((2-3+5)\sqrt[\textstyle 3]{2}\right)^{\textstyle 3}$ |
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$\left(4\sqrt[\textstyle 3]{2}\right)^{\textstyle 3}$ |
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$4^{\textstyle 3} \left(\sqrt[\textstyle 3]{2}\right)^{\textstyle 3}$ |
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$64(2)$ |
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$128$ |
| Respuesta: |
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La solución es la Alternativa B |
