Express as a single fraction in its simplest form: $\dfrac2{2x^2-7x-4}-\dfrac3{4-x}$. State the re

Question

Express as a single fraction in its simplest form: $\dfrac2{2x^2-7x-4}-\dfrac3{4-x}$. State the restrictions on the original expression.

Accepted Answer

$\dfrac{6 x + 5}{\left(x - 4\right) \left(2 x + 1\right)}$ where $x - 4\ne0,\ 2 x + 1\ne0$

Combining fractions with related denominators