What is the factored form of the expression.

4n^2 + 24n + 36

(2n+6) ^2

Step-by-step explanation:

To solve this, you can use the given formula: x^2 + 2xy + y^2

In this case, 4n^2 is x^2, 24n is 2xy, and 36 is y^2. The next step is:

(2n) ^2 + 2 (2n) (6) + (6) ^2

Since this equation fits into this formula (x^2 + 2xy + y^2), we can do:

(2n+6) (2n+6) =

(2n+6) ^2

Hence, the answer is (2n+6) ^2