What is expand x^{1/3}(x^2-42) ?

The solution to expand x^{1/3}(x^2-42) is x^{7/3}-x^{1/3}*42

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expand x^{1/3}(x^2-42)

expand

x^{\frac{1}{3}} (x^{2} - 42)

x^{\frac{7}{3}} - x^{\frac{1}{3}} \cdot 42

Solution steps

x^{\frac{1}{3}} (x^{2} - 42)

Apply the distributive law:

a (b - c) = ab - a c

x^{\frac{1}{3}} (x^{2} - 42) = x^{\frac{1}{3}} x^{2} - x^{\frac{1}{3}} \cdot 42

= x^{\frac{1}{3}} x^{2} - x^{\frac{1}{3}} \cdot 42

Simplify

x^{\frac{1}{3}} x^{2} : x^{\frac{7}{3}}

= x^{\frac{7}{3}} - x^{\frac{1}{3}} \cdot 42

\frac{\frac{d}{d x} ( ( y ) ( y ^{2} + 2 x y ) )}{x ^{2}}

(t + e^{t - 5}) U (t - 5)

3 (5 + 7)

2 \frac{d y}{d x} - (10 - 4 sin (t)) y

\frac{e ^{x}}{( e ^{x} + 1 ) ^{2}}

What is expand x^{1/3}(x^2-42) ?
The solution to expand x^{1/3}(x^2-42) is x^{7/3}-x^{1/3}*42