Which expression is equivalent to x plus 2 plus open bracket 4 x minus the fraction with numerator x squared plus 6 x plus 8 and denominator x plus 4 close bracket ?

Factor the numerator: x² + 6x + 8 = (x + 2)(x + 4), so the fraction simplifies to x + 2 (for x ≠ −4). Then the expression becomes x + 2 + [4x − (x + 2)] = x + 2 + 3x − 2 = 4x. The equivalent expression is 4x, choice D.

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