What is expand ((x^2+8)^2)/(x^5) ?

The solution to expand ((x^2+8)^2)/(x^5) is 1/x+(16)/(x^3)+(64)/(x^5)

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expand ((x^2+8)^2)/(x^5)

expand

\frac{( x ^{2} + 8 ) ^{2}}{x ^{5}}

\frac{1}{x} + \frac{16}{x ^{3}} + \frac{64}{x ^{5}}

Solution steps

\frac{( x ^{2} + 8 ) ^{2}}{x ^{5}}

(x^{2} + 8)^{2} = x^{4} + 16 x^{2} + 64

= \frac{x ^{4} + 16 x ^{2} + 64}{x ^{5}}

Apply the fraction rule:

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

\frac{x ^{4} + 16 x ^{2} + 64}{x ^{5}} = \frac{x ^{4}}{x ^{5}} + \frac{16 x ^{2}}{x ^{5}} + \frac{64}{x ^{5}}

= \frac{x ^{4}}{x ^{5}} + \frac{16 x ^{2}}{x ^{5}} + \frac{64}{x ^{5}}

Cancel

\frac{x ^{4}}{x ^{5}} : \frac{1}{x}

= \frac{1}{x} + \frac{16 x ^{2}}{x ^{5}} + \frac{64}{x ^{5}}

Cancel

\frac{16 x ^{2}}{x ^{5}} : \frac{16}{x ^{3}}

= \frac{1}{x} + \frac{16}{x ^{3}} + \frac{64}{x ^{5}}

- \frac{67}{100 ( p - 126 )}

- 3 + 3 \frac{3}{4}

x - (1 - \frac{x ^{2}}{3} x + x = 0)

\frac{( x + 2 ) ^{2}}{x \cdot ( x - 2 )}

\frac{2 ( 3 x - 1 )}{6 x - 1}

What is expand ((x^2+8)^2)/(x^5) ?
The solution to expand ((x^2+8)^2)/(x^5) is 1/x+(16)/(x^3)+(64)/(x^5)