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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

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

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

\frac{d ^{2}}{d x ^{2}} ((y) (3 x - y + 3))

\frac{1}{S ( S ^{2} + 0.2 S + 1 )}

(x + y - 1) d x + (y - x - 5) d y

(x (4 y d x + 2 x d y) + y^{3} (3 y x + 5 x d y)) (x^{α} y^{β})

\frac{- 3 x ^{2} - 3 x - 10}{x ^{2} ( - 3 x ^{2} + 24 x )}

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