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AP Police Constable practice question

If a + b = 7 and a² + b² = 29, what is the value of a³ + b³?

From a AP Police Constable Quantitative Aptitude practice set · Quantitative Aptitude

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Correct answer: (B) 133

ab = [(a + b)² − (a² + b²)]/2 = (49 − 29)/2 = 10. a³ + b³ = (a + b)³ − 3ab(a + b) = 343 − 3 × 10 × 7 = 133.

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a + b = 7, a² + b² = 29 అయితే a³ + b³ విలువ ఎంత?

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सही उत्तर: (B) 133

ab = (49 − 29)/2 = 10. a³ + b³ = 343 − 210 = 133.

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