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Middle Terms

The middle te...

Question

The middle term in the expansion of ${(\frac{a}{x} + b x)}^{12}$ is

A

924 a^{6} b^{6}

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B

924 a^{6} b^{5}

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C

924 a^{5} b^{5}

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D

924 a^{5} b^{6}

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Solution

The correct option is A $924 a^{6} b^{6}$
The middle term will be the 7th term.
Hence
$T_{6 + 1} =^{12} C_{6} (\frac{a}{x})^{6} (b x)^{6} = 924 a^{6} b^{6}$

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