Basic Math Examples

$\frac{u - 8}{u^{2} - 64}$

Step 1

Simplify the denominator.

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Step 1.1

Rewrite $64$ as $8^{2}$ .

$\frac{u - 8}{u^{2} - 8^{2}}$

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 $a = u$ and $b = 8$ .

$\frac{u - 8}{(u + 8) (u - 8)}$

Step 2

Cancel the common factor of $u - 8$ .

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Step 2.1

Cancel the common factor.

$\frac{u - 8}{(u + 8) (u - 8)}$

Step 2.2

Rewrite the expression.

$\frac{1}{u + 8}$