Answer:
Option B is correct
Explanation:
To add the rational expressions 7/(2x(x+2)) and (x+3)/(x+2), we first need to find a common denominator. The common denominator for these expressions is (x+2).
Now, we can rewrite the expressions with the common denominator:
7/(2x(x+2)) remains as (7 )/(2x(x+2))
(x+3)/(x+2) remains as (x+3)/(x+2)
Next, we can combine the numerators over the common denominator:
[(7 ) +2x* (x+3)] / (2x(x+2))
Simplifying the numerator further:
(7+ 2 x*x + 6x) / (2x(x+2))
This is the simplified sum of the given rational expressions: (2x*x+6x + 7) / (2x(x+2)).