If $$x + y = 5$$ and xy = 4 , find the value of $$x^3 + y^3$$​.

Correct option is B

Given:

x + y = 5

xy = 4 

Formula Used: 

(x + y)³ = x³+ y³+3xy(x + y) ​

Solution: 

applying the formula;

(5)³= x³+ y³+3$$\times$$4(5)

125 = x³+ y³+12$$\times$$5

125 = x³+ y³+60

x³+ y³= 125-60

x³+ y³ = 65