Question

showing all your work for problem 1 divide simplify and state the domain and problem 2 multiply simplify and state the domain

Answer 1

`\begin{gathered} \text{ Divide }(x^2-25)/(3x)\text{ by (x-5). } \\ \text{Factorise x}^2-25,\text{ we have } \\ =\text{ }((x-5)(x+5))/(3x)\text{ / (x-5)} \\ =\text{ }((x-5)(x+5))/(3x)\text{ x }(1)/((x-5)) \\ \\ =(x+5)/(3x) \\ \end{gathered}`

The domain of the problem is given as

`(-\infty,\text{ 0) U (0, +}\infty)`