Simplify (b+3)(b-3)

$(b + 3) (b - 3)$

Step 1

Expand $(b + 3) (b - 3)$ using the FOIL Method.

Apply the distributive property.

$b (b - 3) + 3 (b - 3)$

Apply the distributive property.

$b \cdot b + b \cdot - 3 + 3 (b - 3)$

Apply the distributive property.

$b \cdot b + b \cdot - 3 + 3 b + 3 \cdot - 3$

Step 2

Simplify terms.

Combine the opposite terms in $b \cdot b + b \cdot - 3 + 3 b + 3 \cdot - 3$ .

Reorder the factors in the terms $b \cdot - 3$ and $3 b$ .

$b \cdot b - 3 b + 3 b + 3 \cdot - 3$

Add $- 3 b$ and $3 b$ .

$b \cdot b + 0 + 3 \cdot - 3$

Add $b \cdot b$ and $0$ .

$b \cdot b + 3 \cdot - 3$

Simplify each term.

Multiply $b$ by $b$ .

$b^{2} + 3 \cdot - 3$

Multiply $3$ by $- 3$ .

$b^{2} - 9$