I need to know if my question is right.?

Question

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

I came up with

a^2-ag^2+a^2g^2+g^3

Is that right?

Answer 1

No.

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

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

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

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

Answer 2

no

its a^3 + g^3

Answer 3

If you simple break down the first equation

(a +g)(a^2 - ag +g^2) you get

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

a^3+g^3,  a^2g and ag^2 cancel out