Question

Suppose x and y are two real numbers such that x + y = 10 and x2 + y2 = 167, then the value of x3 + y3

Answer 1

Answer:

x³ + y³ = (x + y)( x² + y² + x×y)

put values given in the question

10 ( 167 + x×y) = x³ + y³

1670 + 10xy = x³ + y³