Question
Download Solution PDF× এর মান কত?
এর মান কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
((275 × 275 × 275 + 725 × 725 × 725))/((275 × 275 + 725 × 725 - 725 × 275)) × ((275 × 275 × 275 - 725 × 725 × 725))/((275 × 275 + 725 × 725 + 725 × 275)) এর মান নির্ণয় করতে হবে।
ব্যবহৃত সূত্র:
(a3 + b3) = (a + b)(a2 - ab + b2)
(a3 - b3) = (a - b)(a2 + ab + b2)
গণনা:
ধরা যাক a = 275 এবং b = 725
লব 1: 2753 + 7253 = (275 + 725)(2752 - 275 × 725 + 7252)
⇒ লব 1 = 1000(2752 - 275 × 725 + 7252)
হর 1: 2752 + 7252 - 725 × 275
⇒ হর 1 = (2752 + 7252 - 725 × 275)
লব 2: 2753 - 7253 = (275 - 725)(2752 + 275 × 725 + 7252)
⇒ লব 2 = -450(2752 + 275 × 725 + 7252)
হর 2: 2752 + 7252 + 725 × 275
⇒ হর 2 = (2752 + 7252 + 725 × 275)
⇒ মান = (1000(2752 - 275 × 725 + 7252))/(2752 + 7252 - 725 × 275) × (-450(2752 + 275 × 725 + 7252))/(2752 + 7252 + 725 × 275)
⇒ মান = 1000 × -450
⇒ মান = -450000
∴ সঠিক উত্তরটি হলো বিকল্প (4).
Last updated on Jun 17, 2025
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