Algebra Examples

{(x + 4)}^{2}

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

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

a x^{2} + b x + c

$a x^{2} + b x + c$

Step 2

Rewrite

{(x + 4)}^{2}

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

(x + 4) (x + 4)

$(x + 4) (x + 4)$ .

(x + 4) (x + 4)

$(x + 4) (x + 4)$

Step 3

Expand

(x + 4) (x + 4)

$(x + 4) (x + 4)$ using the FOIL Method.

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Step 3.1

Apply the distributive property.

x (x + 4) + 4 (x + 4)

$x (x + 4) + 4 (x + 4)$

Step 3.2

Apply the distributive property.

x \cdot x + x \cdot 4 + 4 (x + 4)

$x \cdot x + x \cdot 4 + 4 (x + 4)$

Step 3.3

Apply the distributive property.

x \cdot x + x \cdot 4 + 4 x + 4 \cdot 4

$x \cdot x + x \cdot 4 + 4 x + 4 \cdot 4$

x \cdot x + x \cdot 4 + 4 x + 4 \cdot 4

$x \cdot x + x \cdot 4 + 4 x + 4 \cdot 4$

Step 4

Simplify and combine like terms.

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Step 4.1

Simplify each term.

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Step 4.1.1

Multiply

x

$x$ by

x

$x$ .

x^{2} + x \cdot 4 + 4 x + 4 \cdot 4

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

Step 4.1.2

Move

4

$4$ to the left of

x

$x$ .

x^{2} + 4 \cdot x + 4 x + 4 \cdot 4

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

Step 4.1.3

Multiply

4

$4$ by

4

$4$ .

x^{2} + 4 x + 4 x + 16

$x^{2} + 4 x + 4 x + 16$

x^{2} + 4 x + 4 x + 16

$x^{2} + 4 x + 4 x + 16$

Step 4.2

Add

4 x

$4 x$ and

4 x

$4 x$ .

x^{2} + 8 x + 16

$x^{2} + 8 x + 16$

x^{2} + 8 x + 16

$x^{2} + 8 x + 16$