Question

Add the rational expressions: 7/2x(x+2)/x+3/x+2

Answer 1

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)).