Find the Perfect Square Trinomial x^2+18x

$x^{2} + 18 x$

Step 1

To find the $c$ value $c = {(\frac{b}{2})}^{2}$ , divide the coefficient of $x$ by $2$ and square the result.

Divide $18$ by $2$ .

$9^{2}$

Raise $9$ to the power of $2$ .

$81$

Step 2

Add $81$ to get the perfect square trinomial.

$x^{2} + 18 x + 81$