What is expand ((x+1)^3)/(x^5) ?

The solution to expand ((x+1)^3)/(x^5) is 1/(x^2)+3/(x^3)+3/(x^4)+1/(x^5)

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expand ((x+1)^3)/(x^5)

expand

\frac{( x + 1 ) ^{3}}{x ^{5}}

\frac{1}{x ^{2}} + \frac{3}{x ^{3}} + \frac{3}{x ^{4}} + \frac{1}{x ^{5}}

Solution steps

\frac{( x + 1 ) ^{3}}{x ^{5}}

(x + 1)^{3} = x^{3} + 3 x^{2} + 3 x + 1

= \frac{x ^{3} + 3 x ^{2} + 3 x + 1}{x ^{5}}

Apply the fraction rule:

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

\frac{x ^{3} + 3 x ^{2} + 3 x + 1}{x ^{5}} = \frac{x ^{3}}{x ^{5}} + \frac{3 x ^{2}}{x ^{5}} + \frac{3 x}{x ^{5}} + \frac{1}{x ^{5}}

= \frac{x ^{3}}{x ^{5}} + \frac{3 x ^{2}}{x ^{5}} + \frac{3 x}{x ^{5}} + \frac{1}{x ^{5}}

Cancel

\frac{x ^{3}}{x ^{5}} : \frac{1}{x ^{2}}

= \frac{1}{x ^{2}} + \frac{3 x ^{2}}{x ^{5}} + \frac{3 x}{x ^{5}} + \frac{1}{x ^{5}}

Cancel

\frac{3 x ^{2}}{x ^{5}} : \frac{3}{x ^{3}}

= \frac{1}{x ^{2}} + \frac{3}{x ^{3}} + \frac{3 x}{x ^{5}} + \frac{1}{x ^{5}}

Cancel

\frac{3 x}{x ^{5}} : \frac{3}{x ^{4}}

= \frac{1}{x ^{2}} + \frac{3}{x ^{3}} + \frac{3}{x ^{4}} + \frac{1}{x ^{5}}

4 (2 x - 8 = 6 (10 - 2 x))

y d x + (2 x - 3 y) d y

\frac{\partial}{\partial t} ((y) (y - t^{2} + 1))

\frac{v ^{2} + 13}{( v - 9 ) ( v + 4 )}

\frac{\partial}{\partial x} ((y) (2 x + y))

What is expand ((x+1)^3)/(x^5) ?
The solution to expand ((x+1)^3)/(x^5) is 1/(x^2)+3/(x^3)+3/(x^4)+1/(x^5)