What is the sum? startfraction 3 y over y squared 7 y 10 endfraction startfraction 2 over y 2 endfraction startfraction 5 over y minus 5 endfraction startfraction 5 (y 2) over (y minus 2) (y 5) endfraction startfraction 5 over y 5 endfraction startfraction 5 (y minus 2) over (y minus 5) (y 2) endfraction

Respuesta :

The sum of the fraction expression is equal to 5/(y+5) then the correct option is C.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expression is given as

[tex]\rm \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}[/tex]

Then the sum of the expression is given as

[tex]\rm \rightarrow \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5y+10}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5(y+2)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5}{(y+5)}[/tex]

More about the fraction number link is given below.

https://brainly.com/question/78672

Answer:

C on edge 2022

Step-by-step explanation:

5/y+5