Math Help - Factoring

1. Factoring

Factor:

$x^3+4$

?

2. Sum of cubes:

$a^{3} + b^{3} = (a + b)\left(a^{2} - ab + b^{2}\right)$

3. Ok. So what would be the answer? Would $(x+4)(x^2-4x+16)$ be correct ?

4. Not quite. Notice how 4 represents $b^{3}$. If that's the case, what is b?

5. I don't get it. :/

6. b seems to be 4 to me.

7. This is what I'm saying:
$b^{3} = 4$

Solve for b.

If $b = 4$, then $b^{3} = 64 \neq 4$

8. but $b^{3} = 64$ does equal 4.

Can you please fully explain the problem out to me. I foiled my answer 5 times and every time I got $x^3+64$

9. Oh! I see where I messed up. What I needed factored was $x^3+64$ not $x^3+4$ which I posted. I'm really sorry.