Factor 64m^2-169n^2

$64 m^{2} - 169 n^{2}$

Step 1

Rewrite $64 m^{2}$ as ${(8 m)}^{2}$ .

${(8 m)}^{2} - 169 n^{2}$

Step 2

Rewrite $169 n^{2}$ as ${(13 n)}^{2}$ .

${(8 m)}^{2} - {(13 n)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 8 m$ and $b = 13 n$ .

$(8 m + 13 n) (8 m - (13 n))$

Step 4

Multiply $13$ by $- 1$ .

$(8 m + 13 n) (8 m - 13 n)$

Factor 64m^2-169n^2

Related Questions

Support LCMGCF.com by disabling your adblocker.