Basic Math Examples

$\frac{(y - 5) (y - 3)}{(y - 5) (y + 4)} \cdot \frac{4 (y - 2)}{y - 3}$

Step 1

Cancel the common factor of $y - 3$ .

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Step 1.1

Factor $y - 3$ out of $(y - 5) (y - 3)$ .

$\frac{(y - 3) (y - 5)}{(y - 5) (y + 4)} \cdot \frac{4 (y - 2)}{y - 3}$

Step 1.2

Cancel the common factor.

$\frac{(y - 3) (y - 5)}{(y - 5) (y + 4)} \cdot \frac{4 (y - 2)}{y - 3}$

Step 1.3

Rewrite the expression.

$\frac{y - 5}{(y - 5) (y + 4)} \cdot (4 (y - 2))$

Step 2

Combine $4$ and $\frac{y - 5}{(y - 5) (y + 4)}$ .

$\frac{4 (y - 5)}{(y - 5) (y + 4)} \cdot (y - 2)$

Step 3

Cancel the common factor of $y - 5$ .

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Step 3.1

Cancel the common factor.

$\frac{4 (y - 5)}{(y - 5) (y + 4)} \cdot (y - 2)$

Step 3.2

Rewrite the expression.

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

Step 4

Multiply $\frac{4}{y + 4}$ by $y - 2$ .

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