You can take LCM and then can add to see what's the sum.
The sum result of given expressions is given by: [tex]\dfrac{5}{y+5}[/tex]
You can take LCM and then can add to see whats the sum.
[tex]\begin{aligned}\dfrac{3y}{y^2 + 7y + 10} + \dfrac{2}{y+2} &= \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\&= \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\&= \dfrac{5y+10}{(y+2)(y+5)}\\&= \dfrac{5(y+2)}{(y+2)(y+5)}\\&= \dfrac{5}{y+5}\\\end{aligned}[/tex]
Thus, the sum of given expressions is given by:
[tex]\dfrac{5}{y+5}[/tex]
Learn more about algebraic sums here:
https://brainly.com/question/14964662
