Finite Math Examples

$\frac{3 x - 1}{x^{2} - 49}$

Step 1

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

$\frac{3 x - 1}{x^{2} - 7^{2}}$

Step 2

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

$\frac{3 x - 1}{(x + 7) (x - 7)}$