Question

We need to find the numerator and denominator of the quotient.

Answer 1

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

Explanation:

`(x^2 + x - 6)/(x^2 - 6x + 5) / (x^2 + 2x - 3)/(x^2 - 7x + 10) =`

`= (x^2 + x - 6)/(x^2 - 6x + 5) * (x^2 - 7x + 10)/(x^2 + 2x - 3)`

`= ((x + 3)(x - 2))/((x - 1)(x - 5)) * ((x - 5)(x - 2))/((x - 1)(x + 3))`

`= ((x + 3)(x - 2)(x - 5)(x - 2))/((x - 1)(x - 5)(x - 1)(x + 3))`

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

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