The factored form is $$ \color{blue}{ 25x^2-4 = \left(5x+2\right)\left(5x-2\right) } $$

We can see that both terms are perfect squares. $ 25x^2 = ( 5 x )^2 ~~ \text{and} ~~ 4 = 2 ^2 $

so we can use the difference of squares formula:

$$ a^2 - b^2 = (a - b)(a + b) $$ $$ 25x^{2}-4 = \left(5x+2\right) \left(5x-2\right) $$This page was created using

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