Respuesta :

luisejr77

Answer: Third option.

Step-by-step explanation:

Given the expression [tex]\frac{2x+4}{x+1}+\frac{-x+5}{x+1}[/tex] you need to make the addition indicated.

First, it is important to remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

Therefore, since both fractions have equal denominator, you can rewrite the same denominator and add the numerators. Then you get that the sum is:

 [tex]\frac{2x+4}{x+1}+\frac{-x+5}{x+1}=[/tex][tex]\frac{(2x+4)+(-x+5)}{x+1}=\frac{2x+4-x+5}{x+1}=\frac{x+9}{x+1}[/tex]  

imlittlestar

Answer:

The correct answer is third option

(x + 9)/(x + 1)

Step-by-step explanation:

It is given an expression,

(2x + 4)/(x + 1)  + (-x + 5)/(x + 1)

To find the sum

The given expression shows the sum of two fractions,

The denominators are same

(2x + 4)/(x + 1)  + (-x + 5)/(x + 1)

 = [2x + 4 + -x + 5]/(x + 1)

 = (x + 9)/(x + 1)

Therefore the correct answer is third option

(x + 9)/(x + 1)