What is the numerator of the simplified sum? the fraction with numerator x and denominator x squared plus 3 x plus 2 plus the fraction with numerator 3 and denominator x plus 1

Factor the first denominator: x² + 3x + 2 = (x + 1)(x + 2). Using the common denominator (x + 1)(x + 2), the numerator becomes x + 3(x + 2) = 4x + 6. This does not cancel with a factor in the denominator, so the numerator of the simplified sum is 4x + 6, choice C.

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