Simplify $\dfrac{8k^2+2k-3}{16k^2-9}\div\dfrac{2k^2-k}{4k}$. State the restrictions on the origina

Question

Simplify $\dfrac{8k^2+2k-3}{16k^2-9}\div\dfrac{2k^2-k}{4k}$. State the restrictions on the original expression.

Accepted Answer

$\dfrac{4}{4 k - 3}$ where $4 k - 3\ne0,\ 4 k + 3\ne0,\ 2 k - 1\ne0,\ k\ne0$

Factorised multiplication and division