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

The solution to expand ((x-2)^3)/(x^2) is x-6+(12)/x-8/(x^2)

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

expand

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

x - 6 + \frac{12}{x} - \frac{8}{x ^{2}}

Solution steps

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

(x - 2)^{3} = x^{3} - 6 x^{2} + 12 x - 8

= \frac{x ^{3} - 6 x ^{2} + 12 x - 8}{x ^{2}}

Apply the fraction rule:

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

\frac{x ^{3} - 6 x ^{2} + 12 x - 8}{x ^{2}} = \frac{x ^{3}}{x ^{2}} - \frac{6 x ^{2}}{x ^{2}} + \frac{12 x}{x ^{2}} - \frac{8}{x ^{2}}

= \frac{x ^{3}}{x ^{2}} - \frac{6 x ^{2}}{x ^{2}} + \frac{12 x}{x ^{2}} - \frac{8}{x ^{2}}

Cancel

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

= x - \frac{6 x ^{2}}{x ^{2}} + \frac{12 x}{x ^{2}} - \frac{8}{x ^{2}}

Cancel

\frac{6 x ^{2}}{x ^{2}} : 6

= x - 6 + \frac{12 x}{x ^{2}} - \frac{8}{x ^{2}}

Cancel

\frac{12 x}{x ^{2}} : \frac{12}{x}

= x - 6 + \frac{12}{x} - \frac{8}{x ^{2}}

180 + 54 cos (\frac{π}{6} (x - 1))

(x^{2} + 2 x) cos (x) d x

cos (y) d x - (x sin (y) - e^{y}) d y

\frac{1}{1 - x}

27 (c + d)^{3} - e^{3}

What is expand ((x-2)^3)/(x^2) ?
The solution to expand ((x-2)^3)/(x^2) is x-6+(12)/x-8/(x^2)