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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
((275 × 275 × 275 + 725 × 725 × 725))/((275 × 275 + 725 × 725 - 725 × 275)) × ((275 × 275 × 275 - 725 × 725 × 725))/((275 × 275 + 725 × 725 + 725 × 275))
वापरलेली सूत्रे:
(a3 + b3) = (a + b)(a2 - ab + b2)
(a3 - b3) = (a - b)(a2 + ab + b2)
गणना:
समजा, a = 275 आणि b = 725
अंश 1: 2753 + 7253 = (275 + 725)(2752 - 275 × 725 + 7252)
⇒ अंश 1 = 1000(2752 - 275 × 725 + 7252)
छेद 1: 2752 + 7252 - 725 × 275
⇒ छेद 1 = (2752 + 7252 - 725 × 275)
अंश 2: 2753 - 7253 = (275 - 725)(2752 + 275 × 725 + 7252)
⇒ अंश 2 = -450(2752 + 275 × 725 + 7252)
छेद 2: 2752 + 7252 + 725 × 275
⇒ छेद 2 = (2752 + 7252 + 725 × 275)
⇒ मूल्य = (1000(2752 - 275 × 725 + 7252))/(2752 + 7252 - 725 × 275) × (-450(2752 + 275 × 725 + 7252))/(2752 + 7252 + 725 × 275)
⇒ मूल्य = 1000 × -450
⇒ मूल्य = -450000
∴ पर्याय (4) योग्य आहे.
Last updated on Jun 17, 2025
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