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 16v2−9 is a difference of squares because it is in the form a2−b2, where a=4v and b=3.Step Output: Expression is a difference of squares with a=4v and b=3.
Apply Factoring Formula: Step Title: Apply the Difference of Squares FormulaConcise Step Description: Use the difference of squares factoring formula, which is a2−b2=(a+b)(a−b).Step Calculation: Factoring 16v2−9 using the formula gives us (4v+3)(4v−3).Step Output: Factored Form: (4v+3)(4v−3)