Find the middle term (s) in the expansion of
(1 - 2x + x $^{2}$ ) $^{n}$

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Solution

$W e h a v e$

${(1 - 2 x + x^{2})}^{n}$ $= {((x - 1)^{2})}^{n}$

${(1 - 2 x + x^{2})}^{n}$ $= {(x - 1)}^{2 n}$

$2 n p o w e r i s a n e v e n n o .$

$s o, m i d d l e t e r m i s \frac{2 n}{2} + 1$

$m i d d l e t e r m = n + 1$

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