SOLUTION: Factor completely: 27+8t^3

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Question 328244: Factor completely:
27+8t^3

Found 2 solutions by user_dude2008, Edwin McCravy:
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
27+8t^3 = (3+2t)(9-6t+4t^2)

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
27%2B8t%5E3

What cubed is 27?
Answer; 3 cubed is 27, written 3%5E3

What cubed is 8t%5E3?
Don't know? Then break it down.
8 is 2 cubed and t%5E3 is t cubed.

So write it this way

%283%29%5E3%2B%282t%29%5E3

Now the first part of the factorization is to write
the above down without the exponents:

%283%29%2B%282t%29

But take away the two inner parentheses and just make it

%283%2B2t%29

The other parentheses will contain three terms, gotten this way:

Term 1:  Square the 3, get 9
Term 2:  Multiply the 3 by the 2t, getting 6t and change the sign, getting -6t
Term 3:  Square the (2t) getting 4t%5E2

So the final factored form is:

%283%2B2t%29%289-6t%2B4t%5E2%29

Edwin