Expand the Trigonometric Expression (5+w)(w+4)

$(5 + w) (w + 4)$

Step 1

Expand $(5 + w) (w + 4)$ using the FOIL Method.

Apply the distributive property.

$5 (w + 4) + w (w + 4)$

Apply the distributive property.

$5 w + 5 \cdot 4 + w (w + 4)$

Apply the distributive property.

$5 w + 5 \cdot 4 + w \cdot w + w \cdot 4$

$5 w + 5 \cdot 4 + w \cdot w + w \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $5$ by $4$ .

$5 w + 20 + w \cdot w + w \cdot 4$

Multiply $w$ by $w$ .

$5 w + 20 + w^{2} + w \cdot 4$

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

$5 w + 20 + w^{2} + 4 w$

$5 w + 20 + w^{2} + 4 w$

Add $5 w$ and $4 w$ .

$9 w + 20 + w^{2}$

$9 w + 20 + w^{2}$

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