What constant term is necessary to complete the
perfect square trinomial pictured in the algebra tiles?
x2 + 8x +

The complete expression is

So the missing term is 16.

Step-by-step explanation:

Here, the given expression is:

Let us assume the missing term =

So, the given expression becomes  

Now, by ALGEBRAIC IDENTITY:

So, here applying this identity, we get

So on comparing, we get

So, we get that 2 (x) (4)  = 2 (a)(b)

⇒ a  = x, b= 4

So, the missing term is

Hence, the complete expression is