Question

What is the sum ? 2x

Answer 1

The correct answer is third option

(x + 9)/(x + 1)

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)

Answer 2

Answer: Third option.

Explanation:

Given the expression
`(2x+4)/(x+1)+(-x+5)/(x+1)` you need to make the addition indicated.

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

`(+)(+)=+\\(-)(-)=+\\(-)(+)=-`

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

`(2x+4)/(x+1)+(-x+5)/(x+1)=`
`((2x+4)+(-x+5))/(x+1)=(2x+4-x+5)/(x+1)=(x+9)/(x+1)`