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Simplify: (8x2 + 4x) / (4x2 + 2x)

  1. 2x

  2. 2x + 2

  3. 2x + 1

  4. 2

The correct answer is: 2x + 1

Explanation This can be simplified by factoring out a 2x from each variable in the numerator and denominator: (2x(4+2)) / (2x(2+1)) = (2x(6)) / (2x(3)) = 6/3 = 2. This leaves us with the simplified answer of 2, making option D the correct choice. Option A and B are incorrect as they do not account for the remaining terms in the numerator. Option C is incorrect as it does not simplify the expression to a single term.