Simplify (w-2)(w+6)

$(w - 2) (w + 6)$

Step 1

Expand $(w - 2) (w + 6)$ using the FOIL Method.

Apply the distributive property.

$w (w + 6) - 2 (w + 6)$

Apply the distributive property.

$w \cdot w + w \cdot 6 - 2 (w + 6)$

Apply the distributive property.

$w \cdot w + w \cdot 6 - 2 w - 2 \cdot 6$

$w \cdot w + w \cdot 6 - 2 w - 2 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $w$ by $w$ .

$w^{2} + w \cdot 6 - 2 w - 2 \cdot 6$

Move $6$ to the left of $w$ .

$w^{2} + 6 \cdot w - 2 w - 2 \cdot 6$

Multiply $- 2$ by $6$ .

$w^{2} + 6 w - 2 w - 12$

$w^{2} + 6 w - 2 w - 12$

Subtract $2 w$ from $6 w$ .

$w^{2} + 4 w - 12$

$w^{2} + 4 w - 12$

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