Expand the Trigonometric Expression (4+h)^2

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

Step 1

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

$(4 + h) (4 + h)$

Step 2

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

Apply the distributive property.

$4 (4 + h) + h (4 + h)$

Apply the distributive property.

$4 \cdot 4 + 4 h + h (4 + h)$

Apply the distributive property.

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

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

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $4$ by $4$ .

$16 + 4 h + h \cdot 4 + h \cdot h$

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

$16 + 4 h + 4 \cdot h + h \cdot h$

Multiply $h$ by $h$ .

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

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

Add $4 h$ and $4 h$ .

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

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

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