If \(3x - 2y = 5\) and \(xy = 2\), find the value of \(27x^3 - 8y^3\).

A. 305

B. 125

C. 185

D. 245

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc cpo Save WhatsApp Report

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Answer: A. 305

Answer: (A) 305

\(a^3 - b^3 = (a - b)^3 + 3ab(a - b)\) with \(a = 3x, b = 2y\): \(ab = 6xy = 12\).

\(27x^3 - 8y^3 = 5^3 + 3 \times 12 \times 5 = 125 + 180 = 305\).

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

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