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

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

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

expand

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

x^{\frac{4}{3}} + x^{\frac{1}{3}} \cdot 4

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

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