Question

What expression is equivalent to x-5/(x-5)(x-4)

Answer 1

`\large\boxed{(1)/(x-4)\ \text{for}\ x\\eq5\ \wedge\ x\\eq4}`

Explanation:

`(x-5)/((x-5)(x-4))\\\\\text{Domain:}\ (x-5\\eq0\ \wedge\ x-4\\eq0)\Rightarrow(x\\eq5\ \wedge\ x\\eq4)\\\\(x-5)/((x-5)(x-4))\qquad\text{cancel}\ (x-5)\\\\=(1)/(x-4)`