Identify Expression Type: Step Title: Identify the Type of ExpressionConcise Step Description: Determine the type of expression to understand the factoring method to be used.Step Calculation: The expression 25q2−9 is a difference of squares because it is in the form a2−b2, where a=5q and b=3.
Apply Formula: Step Title: Apply the Difference of Squares FormulaConcise Step Description: Use the difference of squares formula, which is a2−b2=(a+b)(a−b), to factor the expression.Step Calculation: Factoring 25q2−9 using the formula gives us (5q+3)(5q−3).