[(x^2-2x+1)/(x^2+5x-6)]+[(x^2+3x-11)/(x+6)]
=[(x-1)^2/(x+6)(x-1)]+[(x^2+3x-11)/(x+6)]
=[(x-1)/(x+6)]+[(x^2+3x-11)/(x+6)]
=(x^2+4x-12)/(x+6)
=(x-2)(x+6)/(x+6)
=x-2
[(x^2-2x+1)/(x^2+5x-6)]+[(x^2+3x-11)/(x+6)]
=[(x-1)^2/(x+6)(x-1)]+[(x^2+3x-11)/(x+6)]
=[(x-1)/(x+6)]+[(x^2+3x-11)/(x+6)]
=(x^2+4x-12)/(x+6)
=(x-2)(x+6)/(x+6)
=x-2