First, we need to factor the following: n² + 11n + 24 → (n + 3)(n + 8) n² → n * n factor of 24 are: 1 x 24 2 x 12 3 x 8 We will use these factors. 3 + 8 = 11 4 x 6
Division involving fractions results to multiplying the first fraction to the reciprocal of the second fraction.
n-6/(n+3)(n+8) * n+3 / n+1 → n+3 is in both numerator and denominator. Cancel each other out.
n-6/n+8 * 1/n+1 n-6/(n+8)(n+1) Correct answer is Choice D.
