Solution
We are asked to determine the numerator of the simplified sum.
To get the answer, the solution is shown below:
We have given equation as:
x / (x²+3x + 2) + 3/(x+1) , we need to factor out the denominator of the first term such as x²+3x+2 = (x+2) (x+1)
x / (x+3)(x+1) + 3/(x+1)
Perform combining of terms such as:
x + 3(x+2) x + 3x +6 4X + 6
------------------- = ----------------- = --------------
(x+2) (x+1) (x+2)(x+1) (x+2)(x+1)
Therefore, the numerator simplified sum is "4X + 6".