Basic Math Examples

$\frac{8 y + 30 y^{2}}{y^{2} - 8 y} \cdot \frac{y - 8}{4 y + 15}$

Step 1

Factor $2 y$ out of $8 y + 30 y^{2}$ .

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Step 1.1

Factor $2 y$ out of $8 y$ .

$\frac{2 y (4) + 30 y^{2}}{y^{2} - 8 y} \cdot \frac{y - 8}{4 y + 15}$

Step 1.2

Factor $2 y$ out of $30 y^{2}$ .

$\frac{2 y (4) + 2 y (15 y)}{y^{2} - 8 y} \cdot \frac{y - 8}{4 y + 15}$

Step 1.3

Factor $2 y$ out of $2 y (4) + 2 y (15 y)$ .

$\frac{2 y (4 + 15 y)}{y^{2} - 8 y} \cdot \frac{y - 8}{4 y + 15}$

Step 2

Factor $y$ out of $y^{2} - 8 y$ .

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Step 2.1

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

$\frac{2 y (4 + 15 y)}{y \cdot y - 8 y} \cdot \frac{y - 8}{4 y + 15}$

Step 2.2

Factor $y$ out of $- 8 y$ .

$\frac{2 y (4 + 15 y)}{y \cdot y + y \cdot - 8} \cdot \frac{y - 8}{4 y + 15}$

Step 2.3

Factor $y$ out of $y \cdot y + y \cdot - 8$ .

$\frac{2 y (4 + 15 y)}{y (y - 8)} \cdot \frac{y - 8}{4 y + 15}$

Step 3

Reduce the expression $\frac{2 y (4 + 15 y)}{y (y - 8)}$ by cancelling the common factors.

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Step 3.1

Cancel the common factor.

$\frac{2 y (4 + 15 y)}{y (y - 8)} \cdot \frac{y - 8}{4 y + 15}$

Step 3.2

Rewrite the expression.

$\frac{2 (4 + 15 y)}{y - 8} \cdot \frac{y - 8}{4 y + 15}$