Basic Math Examples

$\frac{z^{2} - 49}{z} \div \frac{z + 7}{z - 7}$

Step 1

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

$\frac{z^{2} - 7^{2}}{z} \div \frac{z + 7}{z - 7}$

Step 2

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

$\frac{(z + 7) (z - 7)}{z} \div \frac{z + 7}{z - 7}$