Simplify $\dfrac{a+2}{a^2-5a-14}\div\dfrac{8a^2-4a-4}{2a^2-11a-21}$. State the restrictions on the

Question

Simplify $\dfrac{a+2}{a^2-5a-14}\div\dfrac{8a^2-4a-4}{2a^2-11a-21}$. State the restrictions on the original expression.

Accepted Answer

$\dfrac{2 a + 3}{4 \left(a - 1\right) \left(2 a + 1\right)}$ where $a - 7\ne0,\ a + 2\ne0,\ a - 1\ne0,\ 2 a + 1\ne0,\ 2 a + 3\ne0$

Advanced simplifying and combining