Middle term in the expansion of $(1 + 3 x + 3 x^{2} + x^{3})^{6}$ is

$4^{t h}$

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$3^{r d}$

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$10^{t h}$

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None of these

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Solution

The correct option is C
$10^{t h}$

$(1 + 3 x + 3 x^{2} + x^{3})^{6}$ = $((1 + x)^{3})^{6}$ = $(1 + x)^{18}$

Hence the middle term is $10^{t h}$ .

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Similar questions

(1 - 3 x + 3 x^{2} - x^{3})^{6}

(1 + 3 x + 3 x^{2} + x^{3})^{6}

Middle term in the expansion of $(1 + 3 x + 3 x^{2} + x^{3})^{6}$ is

{(1 + 3 x + 3 x^{2} + x^{3})}^{6}

(1 - 3 x + 3 x^{2} - x^{3})^{2 n}

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