The idea is to get everything into one big fraction by multiplying everything by the common denominator. In this case, the common denominator is #x(x-1)(x-2)#. So, just like with regular fractions, we can multiply the numerator and denominator of each fraction to get them to have a common denominator.
#2/x + 2/(x-1) + 2/(x-2)#
#(2(x-1)(x-2))/(x(x-1)(x-2)) + (2(x)(x-2))/(x(x-1)(x-2)) + (2(x)(x-1))/(x(x-1)(x-2))#
#(2x^2-6x+4)/(x^3-3x^2+2x)+(2x^2-4x)/(x^3-3x^2+2x) + (2x^2-2x)/(x^3-3x^2+2x)#
#(6x^2-12x+4)/(x^3-3x^2+2x)#
Final answer
