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Factor.\newlineh216h^2 - 16

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Q. Factor.\newlineh216h^2 - 16
  1. Identify Technique: Determine the appropriate factoring technique for h216h^2 - 16. Since we have a difference of squares, we can use the formula a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b).
  2. Recognize Difference of Squares: Identify h216h^2 - 16 as a difference of squares.\newlineh2h^2 can be written as (h)2(h)^2, and 1616 can be written as 424^2, so h216h^2 - 16 is in the form of a2b2a^2 - b^2 where a=ha = h and b=4b = 4.
  3. Apply Formula: Apply the difference of squares formula to factor h216h^2 - 16. Using the formula a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b), we get (h4)(h+4)(h - 4)(h + 4).