SOLUTION: Can someone please help me with a homework question? Factor, if possible. (If not possible, enter PRIME.) t^3+8 Andy

Algebra ->  College  -> Linear Algebra -> SOLUTION: Can someone please help me with a homework question? Factor, if possible. (If not possible, enter PRIME.) t^3+8 Andy      Log On


   

Question 318942: Can someone please help me with a homework question?
Factor, if possible. (If not possible, enter PRIME.)
t^3+8
Andy
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
t%5E3%2B8 Notice that this the sum of two cubes:
%28t%29%5E3%2B%282%29%5E2
The sum of two cubes is factored thus:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 so...
t%5E3%2B8+=+highlight%28%28t%2B2%29%28t%5E2-2t%2B4%29%29