Question
Download Solution PDFபின்வரும் எண்களில் எது \((49^{15} - 1) \) வின் வகுப்பான்?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
\((49^{15} - 1) \)
பயன்படுத்தப்பட்ட கருத்து:
an - bn ஆனது (a + b) ஆல் வகுபடும் போது n ஒரு இரட்டைப்படை மிகை முழுக்களாக இருக்கும்.
கணக்கீடு:
\((49^{15} - 1) \)
⇒ \(({(7^2)}^{15} - 1) \)
⇒ \((7^{30} - 1) \)
இங்கே, 30 என்பது மிகை முழு எண்.
கருத்தின்படி,
\((7^{30} - 1) \) (7 + 1) அதாவது 8 ஆல் வகுபடும்.
∴ 8 என்பது \((49^{15} - 1) \) வின் வகுப்பான்.
Last updated on Jun 11, 2025
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