यदि 2x + 5y = 12, xy = 2, तो 8x^3 + 125y^3 का मान ज्ञात कीजिए।

(2x + 5y)³ = 8x³ + 125y³ + 3 × 2x × 5y × (2x + 5y). So 1728 = 8x³ + 125y³ + 30 × 2 × 12, giving 8x³ + 125y³ = 1728 − 720 = 1008.