What is expand x^{1/2}*(x^2-x) ?

The solution to expand x^{1/2}*(x^2-x) is x^{5/2}-x^{3/2}

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expand x^{1/2}*(x^2-x)

expand

x^{\frac{1}{2}} \cdot (x^{2} - x)

x^{\frac{5}{2}} - x^{\frac{3}{2}}

Solution steps

x^{\frac{1}{2}} (x^{2} - x)

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{1}{2}} (x^{2} - x) = x^{\frac{1}{2}} x^{2} - x^{\frac{1}{2}} x

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

x^{\frac{1}{2}} x^{2} = x^{\frac{5}{2}}

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

= x^{\frac{5}{2}} - x^{\frac{3}{2}}

(x^{4} e^{9 x} + 3) x

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

tan (θ) (1 - cot^{2} (θ)) + cot (θ) (1 - tan^{2} (θ))

x (x^{3} e^{3 x} + 2)

\frac{( 2 + x ) ^{2}}{4}

What is expand x^{1/2}*(x^2-x) ?
The solution to expand x^{1/2}*(x^2-x) is x^{5/2}-x^{3/2}