Take out 5 as a common factor. It will be easier to look at.
5(5c^2 + 11c + 6)
5(5C +6 )(c + 1 )
Now you can put the 5 inside.
(25c + 30)(c + 1) is one answer.
(5c + 6)(5c + 5) is another.
The answer is multiplying binomials. There is nothing that that is squared and the answers are not conjugates. They are two binomials multiplied together.
