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Factor.\newlinej29j^2 - 9

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Q. Factor.\newlinej29j^2 - 9
  1. Recognize difference of squares: Determine the appropriate method to factor j29j^2 - 9. We can recognize this expression as a difference of squares, which can be factored using the formula a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b).
  2. Identify expression form: Identify j29j^2 - 9 in the form of a2b2a^2 - b^2. j2j^2 can be written as (j)2(j)^2, and 99 can be written as 323^2, so j29j^2 - 9 is in the form of (j)232(j)^2 - 3^2.
  3. Apply formula to factor: Apply the difference of squares formula to factor the expression.\newlineUsing the formula a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b), we get:\newline(j)232=(j3)(j+3)(j)^2 - 3^2 = (j - 3)(j + 3).