Question

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

A)1/x-4
B)x-4
C)1/-9x-4
D)-9x-4

Answer 1

x-5/(x-5)(x-4)
=1/（x-4）

so A

Answer 2

Option A -
`(1)/((x-4))`

Explanation:

Given : Expression
`(x-5)/((x-4)(x-5))`

To find : Which expression is equivalent to given expression

Solution :

Step - 1 : Write the expression

`=(x-5)/((x-4)(x-5))`

Step -2 : Factor (x-5) cancel out from numerator and denominator

`=(1)/((x-4))`

Therefore, Option A is correct.

`(x-5)/((x-4)(x-5))=(1)/(x-4)`