Basic Math Examples

$\frac{8 y}{y^{2} - 121} \cdot z$

Step 1

Simplify the denominator.

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Step 1.1

Rewrite $121$ as $11^{2}$ .

$\frac{8 y}{y^{2} - 11^{2}} \cdot z$

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 $b = 11$ .

$\frac{8 y}{(y + 11) (y - 11)} \cdot z$

Step 2

Combine $\frac{8 y}{(y + 11) (y - 11)}$ and $z$ .

$\frac{8 y z}{(y + 11) (y - 11)}$