Given x + y = -2 and x^3 + y^3 = 16, we find the value of x^4 + y^4. Instead of directly finding the values of x and y, our approach involves expressing x^4 + y^4 in terms of x + y and x^3 + y^3.

00:00 Intro
00:31 An expression for x^4 + y^4
01:44 More useful expressions
03:49 Substitution
05:08 Addendum: values of x & y