(x-1)(x²+x+1)/(x³+1)+2x(x+1)= (x-1)(x²+x+1)/(x+1)(x²-x+1)+2x(x+1)= (x-1)(x²+x+1)/(x+1)(x²+x+1)= (x-1)/(x+1)
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(x-1)(x²+x+1)/(x³+1)+2x(x+1)= (x-1)(x²+x+1)/(x+1)(x²-x+1)+2x(x+1)= (x-1)(x²+x+1)/(x+1)(x²+x+1)= (x-1)/(x+1)