Simplify -4(b+6)-2b(1-4b)

$- 4 (b + 6) - 2 b (1 - 4 b)$

Simplify each term.

Apply the distributive property.

$- 4 b - 4 \cdot 6 - 2 b (1 - 4 b)$

Multiply $- 4$ by $6$ .

$- 4 b - 24 - 2 b (1 - 4 b)$

Apply the distributive property.

$- 4 b - 24 - 2 b \cdot 1 - 2 b (- 4 b)$

Multiply $- 2$ by $1$ .

$- 4 b - 24 - 2 b - 2 b (- 4 b)$

Rewrite using the commutative property of multiplication.

$- 4 b - 24 - 2 b - 2 \cdot - 4 b \cdot b$

Simplify each term.

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

Move $b$ .

$- 4 b - 24 - 2 b - 2 \cdot - 4 (b \cdot b)$

Multiply $b$ by $b$ .

$- 4 b - 24 - 2 b - 2 \cdot - 4 b^{2}$

$- 4 b - 24 - 2 b - 2 \cdot - 4 b^{2}$

Multiply $- 2$ by $- 4$ .

$- 4 b - 24 - 2 b + 8 b^{2}$

$- 4 b - 24 - 2 b + 8 b^{2}$

$- 4 b - 24 - 2 b + 8 b^{2}$

Simplify by adding terms.

Subtract $2 b$ from $- 4 b$ .

$- 6 b - 24 + 8 b^{2}$

Simplify the expression.

Move $- 24$ .

$- 6 b + 8 b^{2} - 24$

Reorder $- 6 b$ and $8 b^{2}$ .

$8 b^{2} - 6 b - 24$

$8 b^{2} - 6 b - 24$

$8 b^{2} - 6 b - 24$

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