Algebra Examples

$121 m^{2} - n^{6}$

Step 1

Rewrite $121 m^{2}$ as ${(11 m)}^{2}$ .

${(11 m)}^{2} - n^{6}$

Step 2

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

${(11 m)}^{2} - {(n^{3})}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 11 m$ and $b = n^{3}$ .

$(11 m + n^{3}) (11 m - n^{3})$