Pre-Algebra Examples

$\frac{\frac{a + b}{a b}}{a^{2} - b^{2}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{a + b}{a b} \cdot \frac{1}{a^{2} - b^{2}}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = a$ and $b = b$ .

$\frac{a + b}{a b} \cdot \frac{1}{(a + b) (a - b)}$

Step 3

Cancel the common factor of $a + b$ .

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Step 3.1

Cancel the common factor.

$\frac{a + b}{a b} \cdot \frac{1}{(a + b) (a - b)}$

Step 3.2

Rewrite the expression.

$\frac{1}{a b} \cdot \frac{1}{a - b}$

Step 4

Multiply $\frac{1}{a b}$ by $\frac{1}{a - b}$ .

$\frac{1}{a b (a - b)}$