Basic Math Examples

$\frac{18 r^{4} + 9 r^{3} + 3 r^{2}}{9 r^{3}}$

Step 1

Factor $3 r^{2}$ out of $18 r^{4} + 9 r^{3} + 3 r^{2}$ .

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Step 1.1

Factor $3 r^{2}$ out of $18 r^{4}$ .

$\frac{3 r^{2} (6 r^{2}) + 9 r^{3} + 3 r^{2}}{9 r^{3}}$

Step 1.2

Factor $3 r^{2}$ out of $9 r^{3}$ .

$\frac{3 r^{2} (6 r^{2}) + 3 r^{2} (3 r) + 3 r^{2}}{9 r^{3}}$

Step 1.3

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

$\frac{3 r^{2} (6 r^{2}) + 3 r^{2} (3 r) + 3 r^{2} (1)}{9 r^{3}}$

Step 1.4

Factor $3 r^{2}$ out of $3 r^{2} (6 r^{2}) + 3 r^{2} (3 r)$ .

$\frac{3 r^{2} (6 r^{2} + 3 r) + 3 r^{2} (1)}{9 r^{3}}$

Step 1.5

Factor $3 r^{2}$ out of $3 r^{2} (6 r^{2} + 3 r) + 3 r^{2} (1)$ .

$\frac{3 r^{2} (6 r^{2} + 3 r + 1)}{9 r^{3}}$

Step 2

Cancel the common factor of $3$ and $9$ .

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Step 2.1

Factor $3$ out of $3 r^{2} (6 r^{2} + 3 r + 1)$ .

$\frac{3 (r^{2} (6 r^{2} + 3 r + 1))}{9 r^{3}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $9 r^{3}$ .

$\frac{3 (r^{2} (6 r^{2} + 3 r + 1))}{3 (3 r^{3})}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (r^{2} (6 r^{2} + 3 r + 1))}{3 (3 r^{3})}$

Step 2.2.3

Rewrite the expression.

$\frac{r^{2} (6 r^{2} + 3 r + 1)}{3 r^{3}}$

Step 3

Cancel the common factors.

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Step 3.1

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

$\frac{r^{2} (6 r^{2} + 3 r + 1)}{r^{2} (3 r)}$

Step 3.2

Cancel the common factor.

$\frac{r^{2} (6 r^{2} + 3 r + 1)}{r^{2} (3 r)}$

Step 3.3

Rewrite the expression.

$\frac{6 r^{2} + 3 r + 1}{3 r}$