Question
Download Solution PDFদুটি প্রদত্ত প্রাকৃতিক সংখ্যার ঘন-এর মধ্যে পার্থক্য হল 6272, যেখানে দুটি প্রদত্ত সংখ্যার মধ্যে ধনাত্মক পার্থক্য হল 8; প্রদত্ত দুটি সংখ্যার গুণফল কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
প্রদত্ত দুটি প্রাকৃতিক সংখ্যার ঘন-এর মধ্যে পার্থক্য হল 6272
অনুসৃত ধারণা:
x3 - y3 = (x - y)((x + y)2 - xy)
গণনা:
ধরি, দুইটি সংখ্যা হল x এবং y
x3 - y3 = (x - y)(x2+xy+y2)
x3 - y3 =(x-y)(x2+y2+xy-3xy+3xy)
x3 - y3 =(x-y)((x-y)2+3xy)
⇒ 6272 = 8(82 + 3xy)
⇒ 784 = (64 + 3xy)
⇒ 784 - 64 = 3xy
⇒ 720 = 3xy
⇒ xy = 720/3
⇒ xy = 240
এর মান 240
Last updated on Jul 7, 2025
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