Find the number of terms and the middle term of terms in the expansion of
${(\frac{a}{x} + b x)}^{12}$

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Solution

${(\frac{a}{x} + b x)}^{12}$ will have 12 + 1 = 13 terms and middle term will be

12/2 + 1 ie. 7th $∴ T_{7} = 924 a^{6} b^{6}$

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