Question

factor completely: $25g^2 - 9$

Explanation:

Step1: Identify the form

The expression \(25g^2 - 9\) is a difference of squares, since \(25g^2=(5g)^2\) and \(9 = 3^2\). The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Apply the formula

Here, \(a = 5g\) and \(b = 3\). Substituting into the formula, we get \((5g + 3)(5g - 3)\).

Answer:

\((5g + 3)(5g - 3)\)