Final answer:
To factor the polynomial 2b^3 - 18b completely, we factor out the greatest common factor 2b and then factor the difference of squares in the parentheses.
Step-by-step explanation:
To factor the given polynomial 2b^3 - 18b, we first factor out the greatest common factor, which is 2b:
2b(b^2 - 9)
Next, we factor the difference of squares in the parentheses:
2b(b - 3)(b + 3)
Therefore, the given polynomial is completely factored as 2b(b - 3)(b + 3).