Final answer:
The expression y^(2)+12y+27 can be factored by identifying two numbers that multiply to get 27 and add to get 12, which are 3 and 9. The factored expression is (y+3)*(y+9).
Step-by-step explanation:
The expression provided can be factored using the method of factoring trinomials. Here, the trinomial is y^(2)+12y+27.
First, we identify two numbers that multiply to get 27 (the last term), and add to get 12 (second term). Those would be 3 and 9. So, 3 * 9 = 27, and 3 + 9 = 12.
Using these factors, we can rewrite the trinomial. So, y^(2)+12y+27 can be factored into (y+3) * (y+9).
Learn more about Factoring Trinomials