Answer:
[tex]$64, \ (x+8)^2$[/tex]
Step-by-step explanation:
A perfect square trinomial is defined as an expression that is obtained from squaring a binomial equation. The perfect square trinomial is in the form of [tex]$ax^2+bx+c$[/tex].
The given expression is :
[tex]$x^2+16x$[/tex]
The co-efficient of the x-term in [tex]$x^2+16x$[/tex] is '16'.
So half of the term 16 ,
[tex]$\frac{16}{2} = 8$[/tex]
and [tex]$(8)^2=64$[/tex]
Now add 64 to the expression:
[tex]$x^2+16x+64$[/tex]
Therefore, the perfect square trinomial is
[tex]$(x+8)^2=x^2+16x+64$[/tex]
