What is expand-27x^{1/3}(2x^2+14x+42) ?

The solution to expand-27x^{1/3}(2x^2+14x+42) is -54x^{7/3}-378x^{4/3}-1134x^{1/3}

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expand-27x^{1/3}(2x^2+14x+42)

expand

- 27 x^{\frac{1}{3}} (2 x^{2} + 14 x + 42)

- 54 x^{\frac{7}{3}} - 378 x^{\frac{4}{3}} - 1134 x^{\frac{1}{3}}

Solution steps

- 27 x^{\frac{1}{3}} (2 x^{2} + 14 x + 42)

Apply the distributive law:

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

- 27 x^{\frac{1}{3}} (2 x^{2} + 14 x + 42) = - 27 x^{\frac{1}{3}} \cdot 2 x^{2} - 27 x^{\frac{1}{3}} \cdot 14 x - 27 x^{\frac{1}{3}} \cdot 42

= - 27 x^{\frac{1}{3}} \cdot 2 x^{2} - 27 x^{\frac{1}{3}} \cdot 14 x - 27 x^{\frac{1}{3}} \cdot 42

- 27 x^{\frac{1}{3}} \cdot 2 x^{2} = - 54 x^{\frac{7}{3}}

27 x^{\frac{1}{3}} \cdot 14 x = 378 x^{\frac{4}{3}}

27 x^{\frac{1}{3}} \cdot 42 = 1134 x^{\frac{1}{3}}

= - 54 x^{\frac{7}{3}} - 378 x^{\frac{4}{3}} - 1134 x^{\frac{1}{3}}

sin (\frac{π}{6})

(u^{\frac{3}{2}} + 3 u)^{2}

2 (2 + 22 + 6)

\frac{ln ( \frac{cy - f y}{c ( - f + y )} )}{b}

x (\frac{384}{x - 12} + 8)

What is expand-27x^{1/3}(2x^2+14x+42) ?
The solution to expand-27x^{1/3}(2x^2+14x+42) is -54x^{7/3}-378x^{4/3}-1134x^{1/3}