Calculus Examples

$\frac{x^{2} - 36}{x - 6}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $36$ as $6^{2}$ .

$\frac{x^{2} - 6^{2}}{x - 6}$

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 $a = x$ and $b = 6$ .

$\frac{(x + 6) (x - 6)}{x - 6}$

Step 2

Cancel the common factor of $x - 6$ .

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Step 2.1

Cancel the common factor.

$\frac{(x + 6) (x - 6)}{x - 6}$

Step 2.2

Divide $x + 6$ by $1$ .

$x + 6$