Precalculus Examples

$\frac{y^{2} - 25}{y + 5}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $25$ as $5^{2}$ .

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

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 $b = 5$ .

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

Step 2

Cancel the common factor of $y + 5$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Divide $y - 5$ by $1$ .

$y - 5$