Find the value of c that makes the expression a perfect square trinomial. then write the expression as the square of a binomial.
x^2+7x+c

For this case we have the following trinomial:

To find the value of c that makes the expression a perfect square, we must complete the square.

We have then:

Rewriting we have:

Therefore the value of c is given by:

Then, the expression written as a binomial is:

the value of c that makes the expression to perfect square trinomial is:

The expression as the square of a binomial is: