What is expand x^{1/3}(x+8) ?

The solution to expand x^{1/3}(x+8) is x^{4/3}+x^{1/3}*8

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expand x^{1/3}(x+8)

expand

x^{\frac{1}{3}} (x + 8)

x^{\frac{4}{3}} + x^{\frac{1}{3}} \cdot 8

Solution steps

x^{\frac{1}{3}} (x + 8)

Apply the distributive law:

a (b + c) = ab + a c

x^{\frac{1}{3}} (x + 8) = x^{\frac{1}{3}} x + x^{\frac{1}{3}} \cdot 8

= x^{\frac{1}{3}} x + x^{\frac{1}{3}} \cdot 8

Simplify

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

= x^{\frac{4}{3}} + x^{\frac{1}{3}} \cdot 8

\frac{d}{d x} ((y) (x^{3} + a x^{2} + b x + c))

x + h \cdot (- x)

x^{3} y d x + (x^{4} + x^{2} y^{2} + y^{4}) d y

4 (\frac{y ^{2}}{8} - y + 2)

(2 cos (x) - 2) (2 sin (x) - 2)

What is expand x^{1/3}(x+8) ?
The solution to expand x^{1/3}(x+8) is x^{4/3}+x^{1/3}*8