Basic Math Examples

$36 y^{6} - 169$

Step 1

Rewrite $36 y^{6}$ as ${(6 y^{3})}^{2}$ .

${(6 y^{3})}^{2} - 169$

Step 2

Rewrite $169$ as $13^{2}$ .

${(6 y^{3})}^{2} - 13^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 6 y^{3}$ and $b = 13$ .

$(6 y^{3} + 13) (6 y^{3} - 13)$