Find the sum of the terms.
x/x^2+3x+2 + 3/x+1
the numerator of the simplified sum is
a) x+3
b) 3x+6
c) 4x+6
d) 4x+2

Option (C) is the correct answer.

Step-by-step explanation:

The given equation is as follows.

Taking L.C.M, the equation will become as follows.

         ........ (1)

Factorize the equation in the denominator as follows.

       =    

       = x(x+2) + 1(x + 2)  

       = (x+1)(x+2) ........ (2)

Put the factors in equation (2) in to equation (1), then the equation will become as follows.

     =

     =

Now, factorize the numerator as follows.

    =

    =

    =

Cancelling (x+1) from both numerator and denominator. Then the equation will be written as follows.

     =

Thus, we can conclude that the numerator of simplified sum is (4x+6).

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step-by-step explanation: