What is expand ((x+6)^3)/(x^2) ?

The solution to expand ((x+6)^3)/(x^2) is x+18+(108)/x+(216)/(x^2)

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expand ((x+6)^3)/(x^2)

expand

\frac{( x + 6 ) ^{3}}{x ^{2}}

x + 18 + \frac{108}{x} + \frac{216}{x ^{2}}

Solution steps

\frac{( x + 6 ) ^{3}}{x ^{2}}

(x + 6)^{3} = x^{3} + 18 x^{2} + 108 x + 216

= \frac{x ^{3} + 18 x ^{2} + 108 x + 216}{x ^{2}}

Apply the fraction rule:

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

\frac{x ^{3} + 18 x ^{2} + 108 x + 216}{x ^{2}} = \frac{x ^{3}}{x ^{2}} + \frac{18 x ^{2}}{x ^{2}} + \frac{108 x}{x ^{2}} + \frac{216}{x ^{2}}

= \frac{x ^{3}}{x ^{2}} + \frac{18 x ^{2}}{x ^{2}} + \frac{108 x}{x ^{2}} + \frac{216}{x ^{2}}

Cancel

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

= x + \frac{18 x ^{2}}{x ^{2}} + \frac{108 x}{x ^{2}} + \frac{216}{x ^{2}}

Cancel

\frac{18 x ^{2}}{x ^{2}} : 18

= x + 18 + \frac{108 x}{x ^{2}} + \frac{216}{x ^{2}}

Cancel

\frac{108 x}{x ^{2}} : \frac{108}{x}

= x + 18 + \frac{108}{x} + \frac{216}{x ^{2}}

2 x (2 - ln (x))

\frac{( 1 + 0.2 s ) ( 1 + 0.1 s )}{s ^{2} ( s + 1 ) ( 0.01 s + 1 ) ^{2}}

(e^{2 x}) (e^{x} + e^{x} x)

\frac{d}{d t} ((P (t, M)) (r (t, M) P (t, M) (M - P (t, M))))

(2 x - 1) \cdot lo g_{10} (5)

What is expand ((x+6)^3)/(x^2) ?
The solution to expand ((x+6)^3)/(x^2) is x+18+(108)/x+(216)/(x^2)