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## Homework Statement

[tex]\frac{\sqrt[3]{x}-\sqrt[3]{a}}{x-a}[/tex]

## The Attempt at a Solution

[itex]\frac{(\sqrt[3]{x}-\sqrt[3]{a})*(\sqrt[3]{x}+\sqrt[3]{a})}{(x-a)(\sqrt[3]{x}+\sqrt[3]{a})}[/itex]

We get:

[itex]\frac{\sqrt[3]{x^{2}}-\sqrt[3]{a^{2}}}{\sqrt[3]{x^{4}}+x\sqrt[3]{a}-a\sqrt[3]{x}-\sqrt[3]{a^{4}}}[/itex]

Don't know what to do next. Am I even on the right track or should I multiply the numerator and the denominator with smth different?

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