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

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

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

expand

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

x^{\frac{14}{5}} - 8 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 16

Solution steps

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

Expand

(x - 4)^{2} : x^{2} - 8 x + 16

= x^{\frac{4}{5}} (x^{2} - 8 x + 16)

Apply the distributive law:

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

x^{\frac{4}{5}} (x^{2} - 8 x + 16) = x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 8 x) + x^{\frac{4}{5}} \cdot 16

= x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 8 x) + x^{\frac{4}{5}} \cdot 16

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

x^{\frac{4}{5}} (- 8 x) = - 8 x^{\frac{9}{5}}

= x^{\frac{14}{5}} - 8 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 16

∣ u - v ∣^{2}

\frac{m}{s ( s + k )}

\frac{2000}{( s + 1 ) ( s + 50 ) ( s + 100 )}

(1 + \frac{x}{4})^{3}

\frac{50 ( 1 + 0.5 t )}{2 + 0.01 t}

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