If a+b+c=1, a^2+b^2+c^2=2 and a^3+b^3+c^3=3, then what is the value of a^5+b^5+c^5? Isn't it just 5?? Of course, you will have to watch the video to see how to solve this extreme algebra problem! By the way, this is a very common type of algebra problem in math competition exams. Check out the following related videos
binomial expansion formula, expanding (a+b)^2,    • How to expand (a+b)^n (Binomial Theor...  
trinomial expansion formula, expanding (a+b+c)^2,    • the easy way to expand (a+b+c)^n, the...  

@blackpenredpen