Verified answer

используем

a³ - b³ = (a - b)(a² + ab + b²)

a² + 2ab + b² = (a + b)²

(37³ - 13³)/(37 - 13) + 37*13 = (37 - 13)(37² + 37*13 + 13²)/(37 - 13) + 37*13 =

= (37² + 37*13 + 13²) + 37*13 = 37² + 2*37*13 + 13² = (37 + 13)² = 50² = 2500