Basic Math Examples

$\frac{5 y^{2} - y}{3 y} \cdot \frac{9}{5 y - 1}$

Step 1

Factor $y$ out of $5 y^{2} - y$ .

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Step 1.1

Factor $y$ out of $5 y^{2}$ .

$\frac{y (5 y) - y}{3 y} \cdot \frac{9}{5 y - 1}$

Step 1.2

Factor $y$ out of $- y$ .

$\frac{y (5 y) + y \cdot - 1}{3 y} \cdot \frac{9}{5 y - 1}$

Step 1.3

Factor $y$ out of $y (5 y) + y \cdot - 1$ .

$\frac{y (5 y - 1)}{3 y} \cdot \frac{9}{5 y - 1}$

$\frac{y (5 y - 1)}{3 y} \cdot \frac{9}{5 y - 1}$

Step 2

Cancel the common factor of $5 y - 1$ .

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Step 2.1

Factor $5 y - 1$ out of $y (5 y - 1)$ .

$\frac{(5 y - 1) y}{3 y} \cdot \frac{9}{5 y - 1}$

Step 2.2

Cancel the common factor.

$\frac{(5 y - 1) y}{3 y} \cdot \frac{9}{5 y - 1}$

Step 2.3

Rewrite the expression.

$\frac{y}{3 y} \cdot 9$

$\frac{y}{3 y} \cdot 9$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $3 y$ .

$\frac{y}{3 (y)} \cdot 9$

Step 3.2

Factor $3$ out of $9$ .

$\frac{y}{3 (y)} \cdot (3 (3))$

Step 3.3

Cancel the common factor.

$\frac{y}{3 y} \cdot (3 \cdot 3)$

Step 3.4

Rewrite the expression.

$\frac{y}{y} \cdot 3$

$\frac{y}{y} \cdot 3$

Step 4

Combine $\frac{y}{y}$ and $3$ .

$\frac{y \cdot 3}{y}$

Step 5

Cancel the common factor of $y$ .

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Step 5.1

Cancel the common factor.

$\frac{y \cdot 3}{y}$

Step 5.2

Divide $3$ by $1$ .

$3$

$3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$