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

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

Simplify each term.

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Simplify and combine like terms.

Simplify each term.

Multiply $5$ by $3$ .

$15 b + 3 b (- 2 b) - 2 \cdot 5 - 2 (- 2 b) + 6 b^{2}$

Rewrite using the commutative property of multiplication.

$15 b + 3 \cdot - 2 b \cdot b - 2 \cdot 5 - 2 (- 2 b) + 6 b^{2}$

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

Move $b$ .

$15 b + 3 \cdot - 2 (b \cdot b) - 2 \cdot 5 - 2 (- 2 b) + 6 b^{2}$

Multiply $b$ by $b$ .

$15 b + 3 \cdot - 2 b^{2} - 2 \cdot 5 - 2 (- 2 b) + 6 b^{2}$

Multiply $3$ by $- 2$ .

$15 b - 6 b^{2} - 2 \cdot 5 - 2 (- 2 b) + 6 b^{2}$

Multiply $- 2$ by $5$ .

$15 b - 6 b^{2} - 10 - 2 (- 2 b) + 6 b^{2}$

Multiply $- 2$ by $- 2$ .

$15 b - 6 b^{2} - 10 + 4 b + 6 b^{2}$

Add $15 b$ and $4 b$ .

$19 b - 6 b^{2} - 10 + 6 b^{2}$

Combine the opposite terms in $19 b - 6 b^{2} - 10 + 6 b^{2}$ .

Add $- 6 b^{2}$ and $6 b^{2}$ .

$19 b + 0 - 10$

Add $19 b$ and $0$ .

$19 b - 10$