Question

Simplify: x

`x { }^(2) - 3x + 2 \ / x {}^(2) - 4`

x² - 4
4​

Answer 1

`(x-1)/(x+2)`

Explanation:

simplifying the equation:
`x^2-3x+2/x^2-1`

1) Rewrite the equation so it's easier to understand:

`(x^2-3x+2)/(x^2-4)`

2) factor
`x^2-3x+2`:

`x^2-3x+2`
`=> (x-1)(x-2)`

3) factor
`x^2-4`:

`x^2-4 => (x+2)(x-2)`

Meaning:
`((x-1)(x-2))/((x+2)(x-2))`

4) Cancel the common factor:
`(x-2)` from the numerator and the denominator:

`=(x-1)/(x+2)`