Basic Math Examples

$\frac{3 y^{3} - 15 y^{2} + 10 y}{5 y}$

Step 1

Factor $y$ out of $3 y^{3} - 15 y^{2} + 10 y$ .

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Step 1.1

Factor $y$ out of $3 y^{3}$ .

$\frac{y (3 y^{2}) - 15 y^{2} + 10 y}{5 y}$

Step 1.2

Factor $y$ out of $- 15 y^{2}$ .

$\frac{y (3 y^{2}) + y (- 15 y) + 10 y}{5 y}$

Step 1.3

Factor $y$ out of $10 y$ .

$\frac{y (3 y^{2}) + y (- 15 y) + y \cdot 10}{5 y}$

Step 1.4

Factor $y$ out of $y (3 y^{2}) + y (- 15 y)$ .

$\frac{y (3 y^{2} - 15 y) + y \cdot 10}{5 y}$

Step 1.5

Factor $y$ out of $y (3 y^{2} - 15 y) + y \cdot 10$ .

$\frac{y (3 y^{2} - 15 y + 10)}{5 y}$

Step 2

Cancel the common factor of $y$ .

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Step 2.1

Cancel the common factor.

$\frac{y (3 y^{2} - 15 y + 10)}{5 y}$

Step 2.2

Rewrite the expression.

$\frac{3 y^{2} - 15 y + 10}{5}$