How would you go about solving (2-x)/(x^(2)+4x-12 ) ?

Question

How would you go about solving
`(2-x)/(x^(2)+4x-12 )` ?

Answer 1

`(2-x)/(x^2+4x-12)=-(x-2)/(x^2-2x+6x-12)=-(x-2)/(x(x-2)+6(x-2))=\\\\=-(x-2)/((x-2)(x+6))=-(1)/(x+6)`