Factor 4b^2-25 - Math solver

$4 b^{2} - 25$

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

${(2 b)}^{2} - 25$

Rewrite $25$ as $5^{2}$ .

${(2 b)}^{2} - 5^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 2 b$ and $b = 5$ .

$(2 b + 5) (2 b - 5)$

Factor 4b^2-25