What is expand (2(x+1)(x^2-x+1))/(x^3) ?

The solution to expand (2(x+1)(x^2-x+1))/(x^3) is 2+2/(x^3)

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expand (2(x+1)(x^2-x+1))/(x^3)

expand

\frac{2 ( x + 1 ) ( x ^{2} - x + 1 )}{x ^{3}}

2 + \frac{2}{x ^{3}}

Solution steps

\frac{2 ( x + 1 ) ( x ^{2} - x + 1 )}{x ^{3}}

Expand

2 (x + 1) (x^{2} - x + 1) : 2 x^{3} + 2

= \frac{2 x ^{3} + 2}{x ^{3}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2 x ^{3} + 2}{x ^{3}} = \frac{2 x ^{3}}{x ^{3}} + \frac{2}{x ^{3}}

= \frac{2 x ^{3}}{x ^{3}} + \frac{2}{x ^{3}}

Cancel

\frac{2 x ^{3}}{x ^{3}} : 2

= 2 + \frac{2}{x ^{3}}

(s^{2} + 1) (s^{2} + s + \frac{5}{4})

- 3^{2}

- 3^{3}

sin (x) (cot (x) + cos (x) + tan (x))

(- t^{3} + 7 t^{2} + 1) (1, 2 t, 0)

What is expand (2(x+1)(x^2-x+1))/(x^3) ?
The solution to expand (2(x+1)(x^2-x+1))/(x^3) is 2+2/(x^3)