Question

Cпростите выражения -

$\frac{x-1}{3x-12}$ - $\frac{x-3}{2x-8}$

Answer 1

(х-1)/(3х-12) - (х-3)/(2х-8)=
= (х-1)/3(х-4) - (х-3)/2(х-4) =
=2(х-1)/6(х-4) - 3(х-3)/6(х-4) =
= [2(х-1) - 3(х-3)]/6(х-4) =
= (2х-2-3х+9)/6(х-4) =
= (-х+7)/6(х-4) = -(х-7)/6(х-4)