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| Math Central | Quandaries & Queries |
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Question from Soham: Find out the value of the following: |
Hi Soham,
Write the numerator as
\[\left(x - 1\right) + \left(x^2 - 1\right) + \left(x^3 - 1\right) + \cdot \cdot \cdot + \left(x^n - 1\right). \]
In the expression above each of the terms
\[\left(x^k - 1\right)\]
can be factored.
Can you complete the problem now?
Penny
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