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Question Number 63939 by gunawan last updated on 11/Jul/19

$$\mathrm{If}\mathrm{the}(r+1)\mathrm{th}\mathrm{term}\mathrm{in}\mathrm{the}\mathrm{expansion}\mathrm{of}$$$${(\sqrt[3]{\frac{a}{\sqrt{b}}}+\sqrt{\frac{b}{\sqrt[3]{a}}})}^{21}\mathrm{contains}a\mathrm{and}b\mathrm{to}$$$$\mathrm{one}\mathrm{and}\mathrm{the}\mathrm{same}\mathrm{power},\mathrm{then}\mathrm{the}\mathrm{value}$$$$\mathrm{of}r\mathrm{is}$$

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