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

Correct option is B

Formula Used:
x³ + y³ = (x + y)³ - 3xy(x + y)
x² + y² = (x + y)² - 2xy
Solution:
35 = 5³ - 3xy(5)
xy = 6 Then,
(x² + y²) = 52 - 2 × 6 = 13 Then,
to find x⁴ + y⁴ 
(x²)² + (y²)²
 = (x² + y²)² - 2x²y²
= 13² - 2(6)²
= 97
x⁴ + y⁴ = 97