It is given that \( n \) is an odd integer greater than 3 , but \( ...

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It is given that \( n \) is an odd integer greater than 3 , but \( n \) is not a multiple of 3 . Prove that \( x^{3}+x^{2}+x \) is a factor of
\[
(x+1)^{n}-x^{n}-1 \quad(1980,3 \mathrm{M})
\]
\( \mathrm{P} \)
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