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Factor.\newline16v2916v^2 - 9

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Q. Factor.\newline16v2916v^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 16v2916v^2 - 9 is a difference of squares because it is in the form a2b2a^2 - b^2, where a=4va = 4v and b=3b = 3.\newlineStep Output: Expression is a difference of squares with a=4va = 4v and b=3b = 3.
  2. Apply Factoring 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: Factoring 16v2916v^2 - 9 using the formula gives us (4v+3)(4v3)(4v + 3)(4v - 3).\newlineStep Output: Factored Form: (4v+3)(4v3)(4v + 3)(4v - 3)