SOLUTION: Multiply. (a+t)(a^2-at+t^2)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply. (a+t)(a^2-at+t^2)      Log On


   



Question 330745: Multiply. (a+t)(a^2-at+t^2)
Answer by trippin on trig(7) About Me  (Show Source):
You can put this solution on YOUR website!
(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!..