Question

Simplify the following rational expression to determine if thegiven simplification is correct. If it is correct, select TRUE. If it isnot correct, select FALSE.— 3122 – 6x + 92 – 3TOLI

Answer 1

Given an expression as below:

`(x-3)/(x^2-6x+9)`

Using a partial fraction:

`(x-3)/(x^2-6x+9)`
`(x-3)/(x^2-6x+9)=(A)/(x-3)+(B)/(x-3)`

Where

`x^2-6x+9=(x-3)^2=(x-3)(x-3)`
`\begin{gathered} (x-3)/((x-3)(x-3)) \\ \text{divide both side by x-3, cancel the common factor} \\ (x-3)/((x-3)(x-3))=(1)/(x-3) \end{gathered}`

Therefore the above expression = True