Question

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

$n^2+16n$

Short answer

The result is$(n+8{)}^2$.

Step-by-step solution

Given Information. 

The Given expression is$n^2+16n$.

Identify b, the coefficient of term having power one. 

$n^2+16n$

The coefficient of $n$is$16$.

So,$b=16$

Find 12b2.

Substitute$b=16$

$$\begin{gathered} ={\left(\frac{1}{2}\times 16\right)}^2 \\ ={\left(8\right)}^2 \\ =64 \end{gathered}$$

Add 64 to the binomial expression to complete the square.

$n^2+16n+64$

Rewrite as a binomial square.

$(n+8{)}^2$