Basic Math Examples

$\frac{2 b^{4} + 12 b^{3} + 3 b^{2}}{4 b}$

Step 1

Factor $b^{2}$ out of $2 b^{4} + 12 b^{3} + 3 b^{2}$ .

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Step 1.1

Factor $b^{2}$ out of $2 b^{4}$ .

$\frac{b^{2} (2 b^{2}) + 12 b^{3} + 3 b^{2}}{4 b}$

Step 1.2

Factor $b^{2}$ out of $12 b^{3}$ .

$\frac{b^{2} (2 b^{2}) + b^{2} (12 b) + 3 b^{2}}{4 b}$

Step 1.3

Factor $b^{2}$ out of $3 b^{2}$ .

$\frac{b^{2} (2 b^{2}) + b^{2} (12 b) + b^{2} \cdot 3}{4 b}$

Step 1.4

Factor $b^{2}$ out of $b^{2} (2 b^{2}) + b^{2} (12 b)$ .

$\frac{b^{2} (2 b^{2} + 12 b) + b^{2} \cdot 3}{4 b}$

Step 1.5

Factor $b^{2}$ out of $b^{2} (2 b^{2} + 12 b) + b^{2} \cdot 3$ .

$\frac{b^{2} (2 b^{2} + 12 b + 3)}{4 b}$

Step 2

Cancel the common factor of $b^{2}$ and $b$ .

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Step 2.1

Factor $b$ out of $b^{2} (2 b^{2} + 12 b + 3)$ .

$\frac{b (b (2 b^{2} + 12 b + 3))}{4 b}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $b$ out of $4 b$ .

$\frac{b (b (2 b^{2} + 12 b + 3))}{b \cdot 4}$

Step 2.2.2

Cancel the common factor.

$\frac{b (b (2 b^{2} + 12 b + 3))}{b \cdot 4}$

Step 2.2.3

Rewrite the expression.

$\frac{b (2 b^{2} + 12 b + 3)}{4}$