Simplify (3b+3)(3b-2)

$(3 b + 3) (3 b - 2)$

Step 1

Expand $(3 b + 3) (3 b - 2)$ using the FOIL Method.

Apply the distributive property.

$3 b (3 b - 2) + 3 (3 b - 2)$

Apply the distributive property.

$3 b (3 b) + 3 b \cdot - 2 + 3 (3 b - 2)$

Apply the distributive property.

$3 b (3 b) + 3 b \cdot - 2 + 3 (3 b) + 3 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 3 b \cdot b + 3 b \cdot - 2 + 3 (3 b) + 3 \cdot - 2$

Multiply $b$ by $b$ by adding the exponents.

Move $b$ .

$3 \cdot 3 (b \cdot b) + 3 b \cdot - 2 + 3 (3 b) + 3 \cdot - 2$

Multiply $b$ by $b$ .

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

Multiply $3$ by $3$ .

$9 b^{2} + 3 b \cdot - 2 + 3 (3 b) + 3 \cdot - 2$

Multiply $- 2$ by $3$ .

$9 b^{2} - 6 b + 3 (3 b) + 3 \cdot - 2$

Multiply $3$ by $3$ .

$9 b^{2} - 6 b + 9 b + 3 \cdot - 2$

Multiply $3$ by $- 2$ .

$9 b^{2} - 6 b + 9 b - 6$

Add $- 6 b$ and $9 b$ .

$9 b^{2} + 3 b - 6$