Answer:
[tex]x^2+2x+4[/tex]
Step-by-step explanation:
This expression can also be written as a difference of cubes:
[tex]x^3-2^3[/tex]
A important formula to remember is:
[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]
We can use this to factor this expression:
[tex]x^3-2^3=(x-2)(x^2+2x+4)[/tex]
Therefore the other factor is:
[tex]x^2+2x+4[/tex]