What is expand (\sqrt[3]{x+2}-2)^3 ?

The solution to expand (\sqrt[3]{x+2}-2)^3 is -6(\sqrt[3]{x+2})^2+x+12\sqrt[3]{x+2}-6

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expand (\sqrt[3]{x+2}-2)^3

expand

Solution steps

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

Simplify

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

cos (x) (1 + tan (2) (x))

2 (\frac{5}{e ^{36}} + \frac{5}{e ^{4}} + \frac{5}{e ^{16}})

\frac{3}{13} \cdot (7 - 3) + \frac{4}{13} \cdot (0.25 \cdot 3)

(3 x^{\frac{1}{4}} + 2) (3 x^{\frac{1}{4}} - 2)

What is expand (\sqrt[3]{x+2}-2)^3 ?
The solution to expand (\sqrt[3]{x+2}-2)^3 is -6(\sqrt[3]{x+2})^2+x+12\sqrt[3]{x+2}-6