Explanation:
To factor the expression 2x^3 - 8x completely, you can start by factoring out the greatest common factor, which in this case is 2x:
2x(x^2 - 4)
Now, you have 2x factored out, and you can further factor the expression inside the parentheses. The expression inside the parentheses is a difference of squares, which can be factored as follows:
2x(x + 2)(x - 2)
So, the expression 2x^3 - 8x factored completely is 2x(x + 2)(x - 2).