which of the following expressions is equal to 3x^2+27

Answer 1

As Mark commented, you didn’t provide the expressions to choose from. I’m guessing they want you to factor the expression. First, notice you can factor a 3 from both terms:

3x² + 27 = 3(x² + 9)

Now x² + 9 can be factored as (x + 3i)(x - 3i). So the equivalent factored expression is:

3x² + 27 = 3(x + 3i)(x - 3i)