Basic Math Examples

$\frac{y^{2} + 8 y}{- 9} \div \frac{y + 8}{y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{y^{2} + 8 y}{- 9} \cdot \frac{y}{y + 8}$

Step 2

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

Tap for more steps...

Step 2.1

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

$\frac{y \cdot y + 8 y}{- 9} \cdot \frac{y}{y + 8}$

Step 2.2

Factor $y$ out of $8 y$ .

$\frac{y \cdot y + y \cdot 8}{- 9} \cdot \frac{y}{y + 8}$

Step 2.3

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

$\frac{y (y + 8)}{- 9} \cdot \frac{y}{y + 8}$

Step 3

Cancel the common factor of $y + 8$ .

Tap for more steps...

Step 3.1

Factor $y + 8$ out of $y (y + 8)$ .

$\frac{(y + 8) y}{- 9} \cdot \frac{y}{y + 8}$

Step 3.2

Cancel the common factor.

$\frac{(y + 8) y}{- 9} \cdot \frac{y}{y + 8}$

Step 3.3

Rewrite the expression.

$\frac{y}{- 9} y$

Step 4

Combine $\frac{y}{- 9}$ and $y$ .

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

Step 5

Raise $y$ to the power of $1$ .

$\frac{y^{1} y}{- 9}$

Step 6

Raise $y$ to the power of $1$ .

$\frac{y^{1} y^{1}}{- 9}$

Step 7

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{y^{1 + 1}}{- 9}$

Step 8

Add $1$ and $1$ .

$\frac{y^{2}}{- 9}$

Step 9

Move the negative in front of the fraction.

$- \frac{y^{2}}{9}$