Subtract

/frac{3n+2}{n-4}-/frac{n-6}{n+4}

(3n+2) / (n-4) - (n-6) / (n+4)

common denominator (n-4) (n+4)

{ (n+4) (3n+2) - (n-4) (n-6) }/{ (n-4) (n+4) }

Use the foil method:

{ (3n²+14n+8) - (n²-10n+24) }/{ (n-4) (n+4) }

distribute negative sign:

{ (3n²+14n+8-n²+10n-24) }/{ (n-4) (n+4) }

subtract:

(2n²+24n-16) / { (n-4) (n+4) }

take out 2:

2{n²+12n-8}/{ (n-4) (n+4) }