Question

Simplify the rational expression (x^2 -x -6)/ (x^2 -3x -10)

Answer 1

x-3/x-5 B on edge 2020

Explanation:

Answer 2

`(x-3)/(x-5)`

Explanation:

Factorise the numerator and denominator

x² - x - 6 = (x - 3)(x + 2)

x² - 3x - 10 = (x - 5)(x + 2)

The rational expression can now be written as

=
`((x-3)(x+2))/((x-5)(x+2))` ← cancel the factor (x + 2) on numerator/denominator

=
`(x-3)/(x-5)`