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

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

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

expand

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

1 - \frac{1}{x ^{3}}

Solution steps

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

Expand

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

= \frac{x ^{3} - 1}{x ^{3}}

Apply the fraction rule:

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

\frac{x ^{3} - 1}{x ^{3}} = \frac{x ^{3}}{x ^{3}} - \frac{1}{x ^{3}}

= \frac{x ^{3}}{x ^{3}} - \frac{1}{x ^{3}}

Apply rule

\frac{a}{a} = 1

\frac{x ^{3}}{x ^{3}} = 1

= 1 - \frac{1}{x ^{3}}

(6 x^{2} - 8 ν x^{2} + v^{2} x^{2}) (ν d x + x d v)

\frac{π ( 7 - 13 )}{36} (e^{729} - 1)

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

(n + 6)^{2}

- \frac{d}{d x} (((x^{2} - 4)^{2}) x)

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