Question
Download Solution PDFনীচের সংখ্যাগুলির মধ্যে কোনটি \((49^{15} - 1) \)-এর উৎপাদক?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
\((49^{15} - 1) \)
অনুসৃত ধারণা:
an - bn (a + b) দ্বারা বিভাজ্য যেখানে n একটি ধনাত্মক জোড় পূর্ণসংখ্যা
গণনা:
\((49^{15} - 1) \)
⇒ \(({(7^2)}^{15} - 1) \)
⇒ \((7^{30} - 1) \)
এখানে, 30 ধনাত্মক পূর্ণসংখ্যা
ধারণা অনুসারে,
\((7^{30} - 1) \) (7 + 1) অর্থাৎ, 8 দ্বারা বিভাজ্য।
∴ 8 \((49^{15} - 1) \)-এর একটি উৎপাদক।
Last updated on Jun 10, 2025
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