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Factor.\newline25v2925v^2 - 9

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Q. Factor.\newline25v2925v^2 - 9
  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 25v2925v^2 - 9 is a difference of squares because it can be written as (5v)2(3)2(5v)^2 - (3)^2.
  2. Apply Squares Formula: Step Title: Apply the Difference of Squares Formula\newlineConcise Step Description: Use the difference of squares factoring formula, which is a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b).\newlineStep Calculation: For the expression 25v2925v^2 - 9, a=5va = 5v and b=3b = 3. Therefore, the factored form is (5v+3)(5v3)(5v + 3)(5v - 3).