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

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

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

expand

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

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

Solution steps

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

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

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

Apply the distributive law:

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

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

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

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

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

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

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