Question

factor completely. 25m² - 16

Explanation:

Step1: Identify the form

The expression \(25m^2 - 16\) is a difference of squares, since \(25m^2=(5m)^2\) and \(16 = 4^2\). The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Apply the formula

Here, \(a = 5m\) and \(b = 4\). Substituting into the formula, we get \((5m + 4)(5m - 4)\).

Answer:

\((5m + 4)(5m - 4)\)