What is expand x^{4/5}(x-8)^2 ?

The solution to expand x^{4/5}(x-8)^2 is x^{14/5}-16x^{9/5}+x^{4/5}*64

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expand x^{4/5}(x-8)^2

expand

x^{\frac{4}{5}} (x - 8)^{2}

x^{\frac{14}{5}} - 16 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 64

Solution steps

x^{\frac{4}{5}} (x - 8)^{2}

Expand

(x - 8)^{2} : x^{2} - 16 x + 64

= x^{\frac{4}{5}} (x^{2} - 16 x + 64)

Apply the distributive law:

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

x^{\frac{4}{5}} (x^{2} - 16 x + 64) = x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 16 x) + x^{\frac{4}{5}} \cdot 64

= x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 16 x) + x^{\frac{4}{5}} \cdot 64

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

x^{\frac{4}{5}} (- 16 x) = - 16 x^{\frac{9}{5}}

= x^{\frac{14}{5}} - 16 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 64

(x - x + 2)^{2}

x (y^{2} - 1) - y (x^{2} - 1) y^{'} (x)

\frac{d}{d t} ((Q (t)) k (Q (t) - 70))

(3 x + 2 i)^{2}

\frac{2 x + 5}{( x ^{2} + 2 ) ( x + 1 ) ^{''}}

What is expand x^{4/5}(x-8)^2 ?
The solution to expand x^{4/5}(x-8)^2 is x^{14/5}-16x^{9/5}+x^{4/5}*64