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What is the value ofa^2 - b^2 when a=7 and b=4?

  1. 3

  2. 15

  3. 23

  4. 33

The correct answer is: 23

When substituting a=7 and b=4 into the given equation, we get a^2 - b^2 = 7^2 - 4^2 = 49 - 16 = 33. Therefore, the value of a^2 - b^2 is 33, making option D the correct answer. Option A is incorrect because it is the difference of a^2 and b^2, not the value of their difference. Option B is incorrect because it is the sum of the values of a^2 and b^2, not the value of their difference. Option D is incorrect. Although it is the correct value, it is stated differently from option C and may confuse the reader.