Simplify (w+7)(w+3)

$(w + 7) (w + 3)$

Step 1

Expand $(w + 7) (w + 3)$ using the FOIL Method.

Apply the distributive property.

$w (w + 3) + 7 (w + 3)$

Apply the distributive property.

$w \cdot w + w \cdot 3 + 7 (w + 3)$

Apply the distributive property.

$w \cdot w + w \cdot 3 + 7 w + 7 \cdot 3$

$w \cdot w + w \cdot 3 + 7 w + 7 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $w$ by $w$ .

$w^{2} + w \cdot 3 + 7 w + 7 \cdot 3$

Move $3$ to the left of $w$ .

$w^{2} + 3 \cdot w + 7 w + 7 \cdot 3$

Multiply $7$ by $3$ .

$w^{2} + 3 w + 7 w + 21$

$w^{2} + 3 w + 7 w + 21$

Add $3 w$ and $7 w$ .

$w^{2} + 10 w + 21$

$w^{2} + 10 w + 21$

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