SOLUTION: fill in the missing.... x to the 3rd + 216 = ( ) (x to the 2nd - 6x + 36)

Algebra ->  Equations -> SOLUTION: fill in the missing.... x to the 3rd + 216 = ( ) (x to the 2nd - 6x + 36)      Log On


   

Question 154161: fill in the missing....
x to the 3rd + 216 = ( ) (x to the 2nd - 6x + 36)
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Use the following identity
a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29
to factor x%5E3%2B216.
x%5E3%2B216
=x%5E3%2B6%5E3
=%28x%2B6%29%28x%5E2-6x%2B6%5E2%29
=%28x%2B6%29%28x%5E2-6x%2B36%29
So the missing part is x+6.