Question

Which of the following is equal to the rational expression when x≠1 or 3

Answer 1

Given:

`\text{ The expression }(x^2-9)/((x-1)(x-3))`

Required:

Which of the following is equal to the rational expression when x≠1 or 3

Step-by-step explanation:

We know the formula

`a^2-b^2=(a-b)(a+b)`

Now,

`\begin{gathered} =(x^2-9)/((x-1)(x-3)) \\ \text{ We can also write it as} \\ =(x^2-3^2)/((x-1)(x-3)) \\ =((x-3)(x+3))/((x-1)(x-3_)) \\ =(x+3)/(x-1) \end{gathered}`

Answer:

Option A is correct.