Question
Download Solution PDF999³ విలువను గణించండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది: 9993
ఉపయోగించిన సూత్రం:
- \(999= (1000-1)\)
- \((a-b)^3= a^3 – 3a^2b + 3ab^2 – b^3\)
గణనలు:
మనకు తెలుసు,
\(999= (1000-1)\)
ఇప్పుడు, రెండు వైపులా ఘనం చేస్తే,
\(999^3= (1000-1)^3 \\ = (1000)^3-3(1000)^2(1) +3(1000) (1)^2-(1)^3\\ =10^9-3(10^6) +3000-1\\ =997002999\)
కాబట్టి, సరైన సమాధానం ఎంపిక 2.
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