simplify: 3/x + 2x/(x-1) + x/5

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(3/x) + (2x/(x-1)) + (x/5)

First we need to have a coomon denomenator which si :

x(x-1)*5 = 5x(x-1)

==> [3(5(x-1) + 2x(5x) + x(x(x-1)]/ (5x)(x-1)

= [15x -15 + 10x^2 + x^3 - x^2]/(5x)(x-1)

= [x^3 + 9x^2 + 15 x -15]/(5x)(x-1)

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