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Factor.\newline25v21625v^2 - 16

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Q. Factor.\newline25v21625v^2 - 16
  1. Identify Expression Type: Step Title: Identify the Type of Expression\newlineConcise Step Description: Determine the type of expression to understand the factoring method to be used.\newlineStep Calculation: The expression is in the form of a difference of squares, 25v21625v^2 - 16, where 25v225v^2 is a perfect square and 1616 is also a perfect square.
  2. Write Perfect Squares: Step Title: Write the Perfect Squares\newlineConcise Step Description: Express the terms as perfect squares.\newlineStep Calculation: 25v225v^2 is the square of 5v5v and 1616 is the square of 44.
  3. Apply Difference of Squares: Step Title: Apply the Difference of Squares Formula\newlineConcise Step Description: Use the difference of squares formula, a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b), to factor the expression.\newlineStep Calculation: The factored form is (5v+4)(5v4)(5v + 4)(5v - 4).