Question
Download Solution PDFఇచ్చిన సమీకరణాన్ని సరళీకరించండి. \(\frac{[1.5 \times 1.5 \times 1.5+2.7 \times 2.7 \times 2.7+4.8 \times 4.8 \times 4.8-3 \times 1.5 \times 2.7 \times 4.8]}{[1.5 \times 1.5+2.7 \times 2.7+4.8 \times 4.8-1.5 \times 2.7-2.7 \times 4.8-4.8 \times 1.5]}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
సమీకరణాన్ని సరళీకరించండి:
\(\frac{[1.5 \times 1.5 \times 1.5+2.7 \times 2.7 \times 2.7+4.8 \times 4.8 \times 4.8-3 \times 1.5 \times 2.7 \times 4.8]}{[1.5 \times 1.5+2.7 \times 2.7+4.8 \times 4.8-1.5 \times 2.7-2.7 \times 4.8-4.8 \times 1.5]}\)
ఉపయోగించిన సూత్రం:
సమీకరణం మూడు చరరాశులను కలిగి ఉన్న నిర్ణయాంకం కోసం గుర్తింపును అనుసరిస్తుంది:
(a3 + b3 + c3 - 3abc) / (a2 + b2 + c2 - ab - bc - ca) = a + b + c
గణన:
a = 1.5, b = 2.7 మరియు c = 4.8 అని అనుకుందాం.
సూత్రాన్ని ఉపయోగించి:
లెక్కింపు = 1.53 + 2.73 + 4.83 - 3(1.5)(2.7)(4.8)
భాజకం = 1.52 + 2.72 + 4.82 - (1.5 x 2.7) - (2.7 x 4.8) - (4.8 x 1.5)
గుర్తింపును వర్తింపజేస్తే, మనకు లభిస్తుంది:
a + b + c = 1.5 + 2.7 + 4.8 = 9
∴ సమీకరణం యొక్క సరళీకృత విలువ 9.
Last updated on Jun 3, 2025
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