Wyatt Whittaker
02/02/2023 · Junior High School
Montren que: \( \frac{\left(9^{n+1}+9^{n}\right)^{8}}{\left(3^{2 n}-3^{2 n+1}\right)^{2}} \in \mathbb{Z} \)
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The expression simplifies to \(3^{12n} \cdot 2^6 \cdot 5^8\), which is an integer. Therefore, the statement is true.
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