Basic Math Examples

$64 - \frac{1}{25} z^{2}$

Step 1

Rewrite $64$ as $8^{2}$ .

$8^{2} - \frac{1}{25} z^{2}$

Step 2

Rewrite $\frac{1}{25} z^{2}$ as ${(\frac{1}{5} z)}^{2}$ .

$8^{2} - {(\frac{1}{5} z)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 8$ and $b = \frac{1}{5} z$ .

$(8 + \frac{1}{5} z) (8 - (\frac{1}{5} z))$

Step 4

Simplify.

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Step 4.1

Combine $\frac{1}{5}$ and $z$ .

$(8 + \frac{z}{5}) (8 - (\frac{1}{5} z))$

Step 4.2

Combine $\frac{1}{5}$ and $z$ .

$(8 + \frac{z}{5}) (8 - \frac{z}{5})$