Simplify (4b^3-6b^2-b)÷(-4b)

$(4 b^{3} - 6 b^{2} - b) \div (- 4 b)$

Rewrite the division as a fraction.

$\frac{4 b^{3} - 6 b^{2} - b}{- 4 b}$

Factor $b$ out of $4 b^{3} - 6 b^{2} - b$ .

Factor $b$ out of $4 b^{3}$ .

$\frac{b (4 b^{2}) - 6 b^{2} - b}{- 4 b}$

Factor $b$ out of $- 6 b^{2}$ .

$\frac{b (4 b^{2}) + b (- 6 b) - b}{- 4 b}$

Factor $b$ out of $- b$ .

$\frac{b (4 b^{2}) + b (- 6 b) + b \cdot - 1}{- 4 b}$

Factor $b$ out of $b (4 b^{2}) + b (- 6 b)$ .

$\frac{b (4 b^{2} - 6 b) + b \cdot - 1}{- 4 b}$

Factor $b$ out of $b (4 b^{2} - 6 b) + b \cdot - 1$ .

$\frac{b (4 b^{2} - 6 b - 1)}{- 4 b}$

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b (4 b^{2} - 6 b - 1)}{- 4 b}$

Rewrite the expression.

$\frac{4 b^{2} - 6 b - 1}{- 4}$

Move the negative in front of the fraction.

$- \frac{4 b^{2} - 6 b - 1}{4}$