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To factor the expression \(4m^2 - 25\), you can use the difference of squares formula. The difference of squares formula states that \(a^2 - b^2 = (a + b)(a - b)\). Here, we can rewrite \(4m^2 - 25\) as: \[ (2m)^2 - 5^2 \] Now, you can apply the difference of squares formula, where \(a = 2m\) and \(b = 5\): \[ (2m)^2 - 5^2 = (2m + 5)(2m - 5) \] So, the factored form of \(4m^2 - 25\) is: \[ (2m + 5)(2m - 5) \]

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