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).