Find the Perfect Square Trinomial 5x^2+10x+

$5 x^{2} + 10 x +$

Step 1

Factor out the $5$

$5 (x^{2} + 2 x)$

Step 2

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

Divide $2$ by $2$ .

$1^{2}$

One to any power is one.

$1$

Step 3

Add $1$ to get the perfect square trinomial.

$5 (x^{2} + 2 x + 1)$

Step 4

Simplify.

Apply the distributive property.

$5 x^{2} + 5 (2 x) + 5 \cdot 1$

Simplify.

Multiply $2$ by $5$ .

$5 x^{2} + 10 x + 5 \cdot 1$

Multiply $5$ by $1$ .

$5 x^{2} + 10 x + 5$