Question
Download Solution PDFసమీకరణం (3.7)3 - 3 × (3.7)2 × (0.7) + 3(3.7) × (0.7)2 - (0.7)3 యొక్క విలువ:?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన సమీకరణం:
(3.7)3 - 3 × (3.7)2 × (0.7) + 3(3.7) × (0.7)2 - (0.7)3
ఉపయోగించిన భావన:
(a – b)3 = a3 – b3 – 3a2b + 3ab2
లెక్కింపు:
ఇచ్చిన సమీకరణాన్ని, (a – b)3 సూత్రంతో పోల్చగా ,
⇒ (3.7)3 - 3 × (3.7)2 × (0.7) + 3(3.7) × (0.7)2 - (0.7)3
⇒ a = 3.7 మరియు b = 0.7
⇒ (3.7)3 - 3 × (3.7)2 × (0.7) + 3(3.7) × (0.7)2 - (0.7)3 = (3.7 – 0.7)3
⇒ (3.7 – 0.7)3 = 33 = 27
కాబట్టి, సరైన విలువ 27.
Last updated on Jul 18, 2025
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