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Factor.\newline25q2925q^2 - 9

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Q. Factor.\newline25q2925q^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 25q2925q^2 - 9 is a difference of squares because it is in the form a2b2a^2 - b^2, where a=5qa = 5q and b=3b = 3.
  2. Apply Formula: Step Title: Apply the Difference of Squares Formula\newlineConcise Step Description: Use the difference of squares formula, which is a2b2=(a+b)(ab)a^2 - b^2 = (a + b)(a - b), to factor the expression.\newlineStep Calculation: Factoring 25q2925q^2 - 9 using the formula gives us (5q+3)(5q3)(5q + 3)(5q - 3).