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Factor completely.

121x^(2)-144
Answer:

Factor completely.\newline121x2144 121 x^{2}-144 \newlineAnswer:

Full solution

Q. Factor completely.\newline121x2144 121 x^{2}-144 \newlineAnswer:
  1. Identify Expression Type: Step Title: Identify the Type of Expression\newlineConcise Step Description: Determine the type of expression to factor.\newlineStep Calculation: The expression is a difference of squares because it is in the form of a2b2a^2 - b^2, where a=11xa = 11x and b=12b = 12.
  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: Apply the formula to the expression 121x2144121x^2 - 144, where a=11xa = 11x and b=12b = 12, to get (11x+12)(11x12)(11x + 12)(11x - 12).
  3. Write Factored Form: Step Title: Write the Factored Form\newlineConcise Step Description: Write the final factored form of the expression.\newlineStep Calculation: The factored form is (11x+12)(11x12)(11x + 12)(11x - 12).