Factor 4m^2-1

$4 m^{2} - 1$

Step 1

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

${(2 m)}^{2} - 1$

Step 2

Rewrite $1$ as $1^{2}$ .

${(2 m)}^{2} - 1^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 2 m$ and $b = 1$ .

$(2 m + 1) (2 m - 1)$