Simplify (2+h)^2

${(2 + h)}^{2}$

Step 1

Rewrite ${(2 + h)}^{2}$ as $(2 + h) (2 + h)$ .

$(2 + h) (2 + h)$

Step 2

Expand $(2 + h) (2 + h)$ using the FOIL Method.

Apply the distributive property.

$2 (2 + h) + h (2 + h)$

Apply the distributive property.

$2 \cdot 2 + 2 h + h (2 + h)$

Apply the distributive property.

$2 \cdot 2 + 2 h + h \cdot 2 + h \cdot h$

$2 \cdot 2 + 2 h + h \cdot 2 + h \cdot h$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $2$ by $2$ .

$4 + 2 h + h \cdot 2 + h \cdot h$

Move $2$ to the left of $h$ .

$4 + 2 h + 2 \cdot h + h \cdot h$

Multiply $h$ by $h$ .

$4 + 2 h + 2 h + h^{2}$

$4 + 2 h + 2 h + h^{2}$

Add $2 h$ and $2 h$ .

$4 + 4 h + h^{2}$

$4 + 4 h + h^{2}$

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