Express as a single fraction in its simplest form: $\dfrac{n+2}{1-9n^2}-\dfrac{n-4}{6n+2}$. State

Question

Express as a single fraction in its simplest form: $\dfrac{n+2}{1-9n^2}-\dfrac{n-4}{6n+2}$. State the restrictions on the original expression.

Accepted Answer

$- \dfrac{\left(n - 1\right) \left(3 n - 8\right)}{2 \left(3 n - 1\right) \left(3 n + 1\right)}$ where $3 n - 1\ne0,\ 3 n + 1\ne0$

Three-term rational expressions