Factorise (x^(2) - 5x + 6)/(x^(2) - 7x + 12) ​

Question

Factorise

`(x^(2) - 5x + 6)/(x^(2) - 7x + 12)`
​

Answer 1

`(x-2)/(x-4)`

Explanation:

Given

`(x^2-5x+6)/(x^2-7x+12)` ← factorise numerator and denominator

=
`((x-2)(x-3))/((x-4)(x-3))` ← cancel (x - 3) on numerator/ denominator

=
`(x-2)/(x-4)`