To factor the expression x^4 + 8x, you can first factor out the common factor, which is x:
x(x^3 + 8)
Now, you have x as a common factor, and you can further factor the expression inside the parentheses using the sum of cubes formula:
x(x + 2)(x^2 - 2x + 4)
So, the factored form of the expression x^4 + 8x is:
x(x + 2)(x^2 - 2x + 4)