[(m+n)^2-4(m-n)^2]/(3n-m)
=[(m+n)+2(m-n)][(m+n)-2(m-n)]/(3n-m)
=[3m-n][3n-m]/(3n-m)
=3m-n
[(a-2b)^2-4(a-2b)+4]/(a-2b-2)
=[(a-2b)-2]^2/(a-2b-2)
=a-2b-2
[(m+n)^2-4(m-n)^2]/(3n-m)
=[(m+n)+2(m-n)][(m+n)-2(m-n)]/(3n-m)
=[3m-n][3n-m]/(3n-m)
=3m-n
[(a-2b)^2-4(a-2b)+4]/(a-2b-2)
=[(a-2b)-2]^2/(a-2b-2)
=a-2b-2