Question

How do you simplify `\frac{x-2}{x^2-4x+4}`?

Answer 1

First of all, you observe that the denominator `x^2-4x+4` is equal to `(x-2)^2`, and so you rewrite your fraction as
`\frac{x-2}{(x-2)^2}=\frac{1}{x-2}`.
This means that the fraction can be written only if `x\ne 2`