Simplify (x^2-25)/(3x-7)

$\frac{x^{2} - 25}{3 x - 7}$

Step 1

Rewrite $25$ as $5^{2}$ .

$\frac{x^{2} - 5^{2}}{3 x - 7}$

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 $b = 5$ .

$\frac{(x + 5) (x - 5)}{3 x - 7}$