Algebra Examples

$4 x^{2} + 8 x$

Step 1

Factor out the $4$

$4 (x^{2} + 2 x)$

Step 2

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

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Step 2.1

Divide $2$ by $2$ .

$1^{2}$

Step 2.2

One to any power is one.

$1$

Step 3

Add $1$ to get the perfect square trinomial.

$4 (x^{2} + 2 x + 1)$

Step 4

Simplify.

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Step 4.1

Apply the distributive property.

$4 x^{2} + 4 (2 x) + 4 \cdot 1$

Step 4.2

Simplify.

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Step 4.2.1

Multiply $2$ by $4$ .

$4 x^{2} + 8 x + 4 \cdot 1$

Step 4.2.2

Multiply $4$ by $1$ .

$4 x^{2} + 8 x + 4$

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