SOLUTION: what is the answer of this given complex fraction (x+2)/[x(x-1)]+(1)/(x+1)/(x)/[(2x+1)(x-1)]+(1)/(x-1)?

Question 885810: what is the answer of this given complex fraction (x+2)/[x(x-1)]+(1)/(x+1)/(x)/[(2x+1)(x-1)]+(1)/(x-1)?
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!
The toughest part is that middle summand. Use division strictly from left to right to recompose that expression part.

(1)/(x+1)/(x)/[(2x+1)(x-1)]
Let me change the grouping symbols so rendering will work.

, note that the last two binomial factors are strictly associated and must act as a single number!!!

, and NOW that association is not strict within the denominator...

That was JUST for the second fraction and not the first fraction nor third fraction. Simplifying the whole given expression should be much easier now.
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