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anemone
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Prove that in the following product
$P=(1-x+x^2-x^3+\cdots-x^{99}+x^{100})(1+x+x^2+x^3+\cdots+x^{99}+x^{100})$
after multiplying and collecting like terms, there does not appear a term in $x$ of odd degree.
$P=(1-x+x^2-x^3+\cdots-x^{99}+x^{100})(1+x+x^2+x^3+\cdots+x^{99}+x^{100})$
after multiplying and collecting like terms, there does not appear a term in $x$ of odd degree.