Simplify (-6b+5)(-2b-3)

$(- 6 b + 5) (- 2 b - 3)$

Step 1

Expand $(- 6 b + 5) (- 2 b - 3)$ using the FOIL Method.

Apply the distributive property.

$- 6 b (- 2 b - 3) + 5 (- 2 b - 3)$

Apply the distributive property.

$- 6 b (- 2 b) - 6 b \cdot - 3 + 5 (- 2 b - 3)$

Apply the distributive property.

$- 6 b (- 2 b) - 6 b \cdot - 3 + 5 (- 2 b) + 5 \cdot - 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$- 6 \cdot - 2 b \cdot b - 6 b \cdot - 3 + 5 (- 2 b) + 5 \cdot - 3$

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

Move $b$ .

$- 6 \cdot - 2 (b \cdot b) - 6 b \cdot - 3 + 5 (- 2 b) + 5 \cdot - 3$

Multiply $b$ by $b$ .

$- 6 \cdot - 2 b^{2} - 6 b \cdot - 3 + 5 (- 2 b) + 5 \cdot - 3$

Multiply $- 6$ by $- 2$ .

$12 b^{2} - 6 b \cdot - 3 + 5 (- 2 b) + 5 \cdot - 3$

Multiply $- 3$ by $- 6$ .

$12 b^{2} + 18 b + 5 (- 2 b) + 5 \cdot - 3$

Multiply $- 2$ by $5$ .

$12 b^{2} + 18 b - 10 b + 5 \cdot - 3$

Multiply $5$ by $- 3$ .

$12 b^{2} + 18 b - 10 b - 15$

Subtract $10 b$ from $18 b$ .

$12 b^{2} + 8 b - 15$