Finite Math Examples

$\frac{x^{2} - 49}{x} \cdot \frac{x + 7}{x - 7}$

Step 1

Rewrite $49$ as $7^{2}$ .

$\frac{x^{2} - 7^{2}}{x} \cdot \frac{x + 7}{x - 7}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = 7$ .

$\frac{(x + 7) (x - 7)}{x} \cdot \frac{x + 7}{x - 7}$