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

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

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

expand

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

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

Solution steps

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

(x^{3} + 1)^{2} = x^{6} + 2 x^{3} + 1

= \frac{x ^{6} + 2 x ^{3} + 1}{x ^{3}}

Apply the fraction rule:

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

\frac{x ^{6} + 2 x ^{3} + 1}{x ^{3}} = \frac{x ^{6}}{x ^{3}} + \frac{2 x ^{3}}{x ^{3}} + \frac{1}{x ^{3}}

= \frac{x ^{6}}{x ^{3}} + \frac{2 x ^{3}}{x ^{3}} + \frac{1}{x ^{3}}

Cancel

\frac{x ^{6}}{x ^{3}} : x^{3}

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

Cancel

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

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

a c - b d + i (a d + b c)

\frac{2 - ( 1 + k ) i}{1 - ki}

\frac{( x y ^{2} )}{z ^{4}}

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

8 (6 x^{3} + 4 x^{2} - x)^{3}

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