What is 1/x+1+2 x/(x^2)-1-1/x-1 ?

The solution to 1/x+1+2 x/(x^2)-1-1/x-1 is 2/x-1

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simplify 1/x+1+2 x/(x^2)-1-1/x-1

simplify

\frac{1}{x} + 1 + 2 \frac{x}{x ^{2}} - 1 - \frac{1}{x} - 1

\frac{2}{x} - 1

Solution steps

\frac{1}{x} + 1 + 2 \cdot \frac{x}{x ^{2}} - 1 - \frac{1}{x} - 1

Add similar elements:

\frac{1}{x} - \frac{1}{x} = 0

= 1 + 2 \cdot \frac{x}{x ^{2}} - 1 - 1

Simplify

2 \cdot \frac{x}{x ^{2}} : \frac{2}{x}

= 1 + \frac{2}{x} - 1 - 1

Join

1 + \frac{2}{x} - 1 - 1 : \frac{2}{x} - 1

= \frac{2}{x} - 1

2 - 16 x^{3}

(- 5 a^{4})^{2}

(4 y^{2} - 12 x y + 9 x^{2}) - 4 z^{2}

81 x^{4} - 16 y^{2}

x \cdot x \cdot x \cdot x \cdot x^{2020}

What is 1/x+1+2 x/(x^2)-1-1/x-1 ?
The solution to 1/x+1+2 x/(x^2)-1-1/x-1 is 2/x-1