If x^3 + y^3 = 35, x + y = 5, find the value of: x^4 + y^4

x³ + y³ = (x + y)³ − 3xy(x + y): 35 = 125 − 15xy, so xy = 6. x² + y² = 25 − 12 = 13. x⁴ + y⁴ = 13² − 2 × 36 = 169 − 72 = 97.