Question

What is the sum? StartFraction 3 y Over y squared 7 y 10 EndFraction StartFraction 2 Over y 2 EndFraction.

Answer 1

You can take LCM and then can add to see what's the sum.

The sum result of given expressions is given by: $\dfrac{5}{y+5}$

Given that:

• To find sum of  $\dfrac{3y}{y^2 + 7y + 10}$ and  $\dfrac{2}{y+2}$

Finding LCM and summing:

You can take LCM and then can add to see whats the sum.

$\begin{aligned}\dfrac{3y}{y^2 + 7y + 10} + \dfrac{2}{y+2} &= \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\&= \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\&= \dfrac{5y+10}{(y+2)(y+5)}\\&= \dfrac{5(y+2)}{(y+2)(y+5)}\\&= \dfrac{5}{y+5}\\\end{aligned}$

Thus, the sum of given expressions is given by:

$\dfrac{5}{y+5}$

Learn more about algebraic sums here:

brainly.com/question/14964662