What is expand (w^2)/((x+w)^2*x) ?

The solution to expand (w^2)/((x+w)^2*x) is (w^2)/(x^3+2wx^2+w^2x)

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expand (w^2)/((x+w)^2*x)

expand

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

\frac{w ^{2}}{x ^{3} + 2 w x ^{2} + w ^{2} x}

Solution steps

\frac{w ^{2}}{( x + w ) ^{2} x}

(x + w)^{2} = x^{2} + 2 w x + w^{2}

= \frac{w ^{2}}{x ( w ^{2} + 2 w x + x ^{2} )}

Expand

(x^{2} + 2 x w + w^{2}) x : x^{3} + 2 w x^{2} + w^{2} x

= \frac{w ^{2}}{x ^{3} + 2 w x ^{2} + w ^{2} x}

\frac{10 x ( x + 3 )}{9}

d \frac{1 + i}{2 - i}

\frac{5 - x}{x ( x - 2 )}

\frac{( x + 1 ) ( 2 x + 1 )}{6}

(5 cos (x) + 4 sin (x)) d x

What is expand (w^2)/((x+w)^2*x) ?
The solution to expand (w^2)/((x+w)^2*x) is (w^2)/(x^3+2wx^2+w^2x)