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Factor completely.

9x^(2)-100
Answer:

Factor completely.\newline9x2100 9 x^{2}-100 \newlineAnswer:

Full solution

Q. Factor completely.\newline9x2100 9 x^{2}-100 \newlineAnswer:
  1. Identify Expression Type: Step Title: Identify the Type of Expression\newlineConcise Step Description: Determine the type of expression to apply the appropriate factoring technique.\newlineStep Calculation: The expression 9x21009x^2 - 100 is a difference of squares because it can be written as (3x)2(10)2(3x)^2 - (10)^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: Factor the expression using the formula: (3x+10)(3x10)(3x + 10)(3x - 10).