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 is in the form of a difference of squares, 25v2−16, where 25v2 is a perfect square and 16 is also a perfect square.
Write Perfect Squares: Step Title: Write the Perfect SquaresConcise Step Description: Express the terms as perfect squares.Step Calculation: 25v2 is the square of 5v and 16 is the square of 4.
Apply Difference of Squares: Step Title: Apply the Difference of Squares FormulaConcise Step Description: Use the difference of squares formula, a2−b2=(a+b)(a−b), to factor the expression.Step Calculation: The factored form is (5v+4)(5v−4).