Question

Multiply
(a+g)(a^2-ag+g^2)

Answer 1

\[a^3+g^3\]

Answer 2

if you recognize it as the formula for factoring the sum of two cubes. otherwise you have to do 6 multiplications and a raft of cancellation

Answer 3

(a+g)(a^2-ag+g^2)
=a(a^2-ag+g^2)+g(a^2-ag+g^2)
=a^3-a^2g+ag^2+a^2g-ag^2+g^3
=(a^3+g^3)