What is expand x^{4/5}(8x-32)^2 ?

The solution to expand x^{4/5}(8x-32)^2 is 64x^{14/5}-512x^{9/5}+x^{4/5}*1024

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expand x^{4/5}(8x-32)^2

expand

x^{\frac{4}{5}} (8 x - 32)^{2}

64 x^{\frac{14}{5}} - 512 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 1024

Solution steps

x^{\frac{4}{5}} (8 x - 32)^{2}

Expand

(8 x - 32)^{2} : 64 x^{2} - 512 x + 1024

= x^{\frac{4}{5}} (64 x^{2} - 512 x + 1024)

Apply the distributive law:

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

x^{\frac{4}{5}} (64 x^{2} - 512 x + 1024) = x^{\frac{4}{5}} \cdot 64 x^{2} + x^{\frac{4}{5}} (- 512 x) + x^{\frac{4}{5}} \cdot 1024

= x^{\frac{4}{5}} \cdot 64 x^{2} + x^{\frac{4}{5}} (- 512 x) + x^{\frac{4}{5}} \cdot 1024

x^{\frac{4}{5}} \cdot 64 x^{2} = 64 x^{\frac{14}{5}}

x^{\frac{4}{5}} (- 512 x) = - 512 x^{\frac{9}{5}}

= 64 x^{\frac{14}{5}} - 512 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 1024

\frac{x - 1}{( x + 1 ) ( x - 3 )}

(0, 4) y (0, - 4)

25 (e^{- t} - e^{- 2 t})

\frac{1 + 11 x - 6 x ^{2}}{( x - 3 ) ( 1 - 2 x )}

π (25 x^{3} - 65 x^{2} - 29 x - 3)

What is expand x^{4/5}(8x-32)^2 ?
The solution to expand x^{4/5}(8x-32)^2 is 64x^{14/5}-512x^{9/5}+x^{4/5}*1024