What is expand x^{4/5}(x-1)^2 ?

The solution to expand x^{4/5}(x-1)^2 is x^{14/5}-2x^{9/5}+x^{4/5}

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expand x^{4/5}(x-1)^2

expand

x^{\frac{4}{5}} (x - 1)^{2}

x^{\frac{14}{5}} - 2 x^{\frac{9}{5}} + x^{\frac{4}{5}}

Solution steps

x^{\frac{4}{5}} (x - 1)^{2}

Expand

(x - 1)^{2} : x^{2} - 2 x + 1

= x^{\frac{4}{5}} (x^{2} - 2 x + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

x^{\frac{4}{5}} (x^{2} - 2 x + 1) = x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 2 x) + x^{\frac{4}{5}} \cdot 1

= x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 2 x) + x^{\frac{4}{5}} \cdot 1

x^{\frac{4}{5}} x^{2} = x^{\frac{14}{5}}

x^{\frac{4}{5}} (- 2 x) = - 2 x^{\frac{9}{5}}

x^{\frac{4}{5}} \cdot 1 = x^{\frac{4}{5}}

= x^{\frac{14}{5}} - 2 x^{\frac{9}{5}} + x^{\frac{4}{5}}

\frac{\partial}{\partial x} ((b) (w (x) x + b))

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

(sin (x) - tan (x)) (cos (x) + cot (x))

(x^{3} - 7 x^{2}) (\frac{1}{x} - 6)

x (x - x^{2})

What is expand x^{4/5}(x-1)^2 ?
The solution to expand x^{4/5}(x-1)^2 is x^{14/5}-2x^{9/5}+x^{4/5}