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Prove by the mathematical inductionx^(2n...

Prove by the mathematical induction`x^(2n)-y^(2n)` is divisible by` x+y`

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To prove that \( x^{2n} - y^{2n} \) is divisible by \( x + y \) using mathematical induction, we will follow these steps: ### Step 1: Base Case We start with the base case \( n = 1 \). \[ P(1): x^{2 \cdot 1} - y^{2 \cdot 1} = x^2 - y^2 \] ...
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