If x^3 + y^3 = 16 and x + y = 4, then find the value of x^4 + y^4.

If $x^3 + y^3 = 16$

x + y = 4,

then find the value of $x^4 + y^4.$

Put the values of x and y = 2 ( This value will satisfy the given equation )

$x^4 + y^4.$ = $2^4 + 2^4.$ = 16 + 16 = 32