Simplify (x+4)^2

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

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

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $4$ to the left of $x$ .

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

Multiply $4$ by $4$ .

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

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

Add $4 x$ and $4 x$ .

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

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

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