Evaluate (4+x)^2

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

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

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Simplify and combine like terms.

Simplify each term.

Multiply $4$ by $4$ .

$16 + 4 x + x \cdot 4 + x \cdot x$

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

$16 + 4 x + 4 \cdot x + x \cdot x$

Multiply $x$ by $x$ .

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

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

Add $4 x$ and $4 x$ .

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

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

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