SOLUTION: How do you factor x^3+8?

Question 97039: How do you factor x^3+8?
Found 2 solutions by Earlsdon, mathslover:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Factor:
Do you recognise this as the sum of two cubes?
...but of course!
The sum of two cubes can be factored thus:

In your problem, A = x and B = 2, so...
and we're done!
Let's check the solution by multiplying the two factors, using FOIL.
Simplify by combining like-terms.

Answer by mathslover(157) (Show Source): You can put this solution on YOUR website!

In general a^3 + b^3 = (a + b) (a^2 - ab + b^2)
the given expression x^3 + 8 can be written as
x^3 + 2^3
= (x + 2 )(x^2 - 2*x + 2^2)
= (x + 2 )(x^2 - 2x + 4)
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