Algebra Examples

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

Step 1

Rewrite the division as a fraction.

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

Step 2

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

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

Factor $b$ out of $- b$ .

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

Step 2.4

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

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

Step 2.5

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

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

Step 3

Cancel the common factor of $b$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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