What is expand ((x-1)^3)/x ?

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

Popular >

expand ((x-1)^3)/x

expand

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

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

Solution steps

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

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

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

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

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

Cancel

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

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

Cancel

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

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

Cancel

\frac{3 x}{x} : 3

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

(e^{x} + e^{x} x) \cdot e^{x}

(\frac{3}{4} - 7 m) (\frac{3}{4} + 7 m)

\frac{2}{s ( s ^{2} + 7 s + 12 )} + \frac{e ^{- 2 s}}{s ^{2} + 7 s + 12}

(x + i) (3 - y)

ln (4 x) (x - 1)