Question 330745
(a+t) (a^2 - at + t^2)

This problem will produce a perfect cube
Procedure is to FOIL the two terms as such: (try lining up your terms as you go along to make cancellation easy)

a * a^2 = a^3                 
a * -at = -a^2t                    
a * t^2 = at^2                           

results of first line         a^3 - a^2t + at^2

t * a^2 = a^2t                    
t * -at = -at^2                          
t * t^2 = t^3                                   

results of second line            + a^2t - at^2 + t^3

first line +                  a^3 - a^2t + at^2
second line                       + a^2t - at^2 + t^3
sum                           a^3 + 0    - 0    + t^3
reduce                        a^3 + t^3
factor                        (a+t)^3

answer                        (a+t)^3

Hope this helps!..