We have been given an expression
. We are asked to determine the missing term in the expression that will make the expression a perfect square.
To complete a square, we need to add the square of half of the coefficient of x.
We can see that coefficient of x is
. To complete the square we need to find half of the square of
.
Upon adding 36 to our expression, we will get:
We can see that our expression is now perfect square as we can rewrite is as:
Therefore, the missing constant term in the given perfect square would be 36.