Basic Math Examples

$225 - y^{6}$

Step 1

Rewrite $225$ as $15^{2}$ .

$15^{2} - y^{6}$

Step 2

Rewrite $y^{6}$ as ${(y^{3})}^{2}$ .

$15^{2} - {(y^{3})}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 15$ and $b = y^{3}$ .

$(15 + y^{3}) (15 - y^{3})$