Pre-Algebra Examples

$\frac{y}{y^{2} - 9} + \frac{5}{y^{2} - 9}$

Step 1

Combine the numerators over the common denominator.

$\frac{y + 5}{y^{2} - 9}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $9$ as $3^{2}$ .

$\frac{y + 5}{y^{2} - 3^{2}}$

Step 2.2

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 $b = 3$ .

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