Express as a single fraction in its simplest form: $\dfrac5{p-3}-\dfrac8{6-2p}+\dfrac4{3(p+3)}$. S

Question

Express as a single fraction in its simplest form: $\dfrac5{p-3}-\dfrac8{6-2p}+\dfrac4{3(p+3)}$. State the restrictions on the original expression.

Accepted Answer

$\dfrac{31 p + 69}{3 \left(p - 3\right) \left(p + 3\right)}$ where $p - 3\ne0,\ p + 3\ne0$

Three-term rational expressions