What is expand x^{4/5}(7x-28)^2 ?

The solution to expand x^{4/5}(7x-28)^2 is 49x^{14/5}-392x^{9/5}+x^{4/5}*784

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expand x^{4/5}(7x-28)^2

expand

x^{\frac{4}{5}} (7 x - 28)^{2}

49 x^{\frac{14}{5}} - 392 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 784

Solution steps

x^{\frac{4}{5}} (7 x - 28)^{2}

Expand

(7 x - 28)^{2} : 49 x^{2} - 392 x + 784

= x^{\frac{4}{5}} (49 x^{2} - 392 x + 784)

Apply the distributive law:

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

x^{\frac{4}{5}} (49 x^{2} - 392 x + 784) = x^{\frac{4}{5}} \cdot 49 x^{2} + x^{\frac{4}{5}} (- 392 x) + x^{\frac{4}{5}} \cdot 784

= x^{\frac{4}{5}} \cdot 49 x^{2} + x^{\frac{4}{5}} (- 392 x) + x^{\frac{4}{5}} \cdot 784

x^{\frac{4}{5}} \cdot 49 x^{2} = 49 x^{\frac{14}{5}}

x^{\frac{4}{5}} (- 392 x) = - 392 x^{\frac{9}{5}}

= 49 x^{\frac{14}{5}} - 392 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 784

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What is expand x^{4/5}(7x-28)^2 ?
The solution to expand x^{4/5}(7x-28)^2 is 49x^{14/5}-392x^{9/5}+x^{4/5}*784