What is expand x^{1/4}(3x-3) ?

The solution to expand x^{1/4}(3x-3) is 3x^{5/4}-x^{1/4}*3

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expand x^{1/4}(3x-3)

expand

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

3 x^{\frac{5}{4}} - x^{\frac{1}{4}} \cdot 3

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{1}{4}} (3 x - 3) = x^{\frac{1}{4}} \cdot 3 x - x^{\frac{1}{4}} \cdot 3

= x^{\frac{1}{4}} \cdot 3 x - x^{\frac{1}{4}} \cdot 3

Simplify

x^{\frac{1}{4}} \cdot 3 x : 3 x^{\frac{5}{4}}

= 3 x^{\frac{5}{4}} - x^{\frac{1}{4}} \cdot 3

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What is expand x^{1/4}(3x-3) ?
The solution to expand x^{1/4}(3x-3) is 3x^{5/4}-x^{1/4}*3