Simplify (w+9)(w-7)

$(w + 9) (w - 7)$

Step 1

Expand $(w + 9) (w - 7)$ using the FOIL Method.

Apply the distributive property.

$w (w - 7) + 9 (w - 7)$

Apply the distributive property.

$w \cdot w + w \cdot - 7 + 9 (w - 7)$

Apply the distributive property.

$w \cdot w + w \cdot - 7 + 9 w + 9 \cdot - 7$

$w \cdot w + w \cdot - 7 + 9 w + 9 \cdot - 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $w$ by $w$ .

$w^{2} + w \cdot - 7 + 9 w + 9 \cdot - 7$

Move $- 7$ to the left of $w$ .

$w^{2} - 7 \cdot w + 9 w + 9 \cdot - 7$

Multiply $9$ by $- 7$ .

$w^{2} - 7 w + 9 w - 63$

$w^{2} - 7 w + 9 w - 63$

Add $- 7 w$ and $9 w$ .

$w^{2} + 2 w - 63$

$w^{2} + 2 w - 63$

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