Pre-Algebra Examples

$16 m^{2} - n^{2}$

Step 1

Rewrite $16 m^{2}$ as ${(4 m)}^{2}$ .

${(4 m)}^{2} - n^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 4 m$ and $b = n$ .

$(4 m + n) (4 m - n)$