Factor (4x^2-25)

$(4 x^{2} - 25)$

Step 1

Remove parentheses.

$4 x^{2} - 25$

Step 2

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

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

Step 3

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

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

Step 4

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

$(2 x + 5) (2 x - 5)$