Polynomial x to the third power plus 8 is equal to

(x + 2) (x^2 - 2x + 4)

x^3 + 8

We can simplify this using the sum of cubes theorem.

(a^3 + b^3) = (a + b) (a^2 - ab + b^2)

We can plug in our values like so:

(x^3 + 8) = (x + 2) (x^2 - 2x + 4)

The simplified form of the given polynomial is;