## Introductory Algebra for College Students (7th Edition)

$\displaystyle \frac{2y+3}{y-5}$
To add rational expressions with the same denominator, add numerators and place the sum over the common denominator. If possible, factor and simplify the result. --- $\displaystyle \frac{y^{2}+7y}{y^{2}-5y}+\frac{y^{2}-4y}{y^{2}-5y} = \displaystyle \frac{y^{2}+7y+y^{2}-4y}{y^{2}-5y}$ $= \displaystyle \frac{2y^{2}+3y}{y^{2}-5y}$ $= \displaystyle \frac{y(2y+3)}{y(y-5)}\qquad$... reduce the common factor $=\displaystyle \frac{2y+3}{y-5}$