The middle term of ${(1 - 3 x + 3 x^{2} - x^{3})}^{2 n}$ is

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Solution

The correct option is A
${(1 - 3 x + 3 x^{2} - x^{3})}^{2 n}$ = ${[{(1 - x)}^{3}]}^{2 n}$ = ${(1 - x)}^{6 n}$
Middle term = $(\frac{6 n}{2} + 1) t h t e r m$ = $(3 n + 1) t h t e r m$ = $^{6 n} C_{3 n} {(- x)}^{3 n}$

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