Basic Math Examples

$(\frac{y - 9}{y^{2} + 6}) \cdot \frac{y + 4}{y^{2} - 4}$

Step 1

Simplify the denominator.

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Step 1.1

Rewrite $4$ as $2^{2}$ .

$\frac{y - 9}{y^{2} + 6} \cdot \frac{y + 4}{y^{2} - 2^{2}}$

Step 1.2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = y$ and $b = 2$ .

$\frac{y - 9}{y^{2} + 6} \cdot \frac{y + 4}{(y + 2) (y - 2)}$

Step 2

Multiply $\frac{y - 9}{y^{2} + 6}$ by $\frac{y + 4}{(y + 2) (y - 2)}$ .

$\frac{(y - 9) (y + 4)}{(y^{2} + 6) (y + 2) (y - 2)}$