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Find the product

(x^50+x^49+x^48+...+x^2+x+1)(x^50-x^49+x^48-...+x^2-x+1)

(In the second factor, the coefficients alternate between 1 and -1)

 Feb 18, 2021
 #1
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The product expands as x^100 + 1.

 Feb 18, 2021
 #2
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Do you know how?

 Feb 18, 2021

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