Express as a single fraction in its simplest form: $\dfrac{y-3}{4-3y-y^2}+\dfrac{y}{y^2+5y+4}$. St

Question

Express as a single fraction in its simplest form: $\dfrac{y-3}{4-3y-y^2}+\dfrac{y}{y^2+5y+4}$. State the restrictions on the original expression.

Accepted Answer

$\dfrac{y + 3}{\left(y - 1\right) \left(y + 1\right) \left(y + 4\right)}$ where $y - 1\ne0,\ y + 4\ne0,\ y + 1\ne0$

Three-term rational expressions