Question
Download Solution PDFদুটি প্রদত্ত স্বাভাবিক সংখ্যার পার্থক্যের ঘনফল 1728, এবং সংখ্যাদুটির গুণফল 108; এই সংখ্যাদুটির ঘনফলের ধনাত্মক পার্থক্য নির্ণয় করুন।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
(1ম স্বাভাবিক সংখ্যা - 2য় স্বাভাবিক সংখ্যা)3 = 1728
1ম স্বাভাবিক সংখ্যা × 2য় স্বাভাবিক সংখ্যা = 108
অনুসৃত সূত্র:
(A - B)3 = A3 - B3 - 3AB × (A - B)
গণনা:
ধরি 1ম স্বাভাবিক সংখ্যা = A
2য় স্বাভাবিক সংখ্যা = B
(A - B)3 = 1728
⇒ (A - B) = 3√1728 = 12
A3 - B3 = (A - B)3 + 3AB × (A - B)
⇒ 1728 + 3 × 108 × 12
⇒ 1728 + 3 × 108 × 12
⇒ 1728 + 3888 = 5616
∴ সঠিক উত্তর 5616
Last updated on Jun 25, 2025
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