Basic Math Examples

$\frac{y^{2} - 4 y}{3} \cdot \frac{y}{y - 4}$

Step 1

Factor $y$ out of $y^{2} - 4 y$ .

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Step 1.1

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

$\frac{y \cdot y - 4 y}{3} \cdot \frac{y}{y - 4}$

Step 1.2

Factor $y$ out of $- 4 y$ .

$\frac{y \cdot y + y \cdot - 4}{3} \cdot \frac{y}{y - 4}$

Step 1.3

Factor $y$ out of $y \cdot y + y \cdot - 4$ .

$\frac{y (y - 4)}{3} \cdot \frac{y}{y - 4}$

Step 2

Cancel the common factor of $y - 4$ .

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Step 2.1

Factor $y - 4$ out of $y (y - 4)$ .

$\frac{(y - 4) y}{3} \cdot \frac{y}{y - 4}$

Step 2.2

Cancel the common factor.

$\frac{(y - 4) y}{3} \cdot \frac{y}{y - 4}$

Step 2.3

Rewrite the expression.

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

Step 3

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

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

Step 4

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

$\frac{y^{1} y}{3}$

Step 5

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

$\frac{y^{1} y^{1}}{3}$

Step 6

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

$\frac{y^{1 + 1}}{3}$

Step 7

Add $1$ and $1$ .

$\frac{y^{2}}{3}$