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

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

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

expand

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

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

Solution steps

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

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

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

Apply the fraction rule:

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

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

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

Cancel

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

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

Cancel

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

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

Cancel

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

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

\frac{( n ^{2} - 36 ) ^{2}}{36 n ^{2}}

\frac{2 ( 6 + 51 )}{3}

(2 π k^{5} + 5 k^{4}) (πk + 3)

53.39 (1 - e^{- 0.18355 t})

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

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