What is expand (-1/3 x+2)^3 ?

The solution to expand (-1/3 x+2)^3 is (-x^3+18x^2-108x+216)/(27)

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expand (-1/3 x+2)^3

expand

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

\frac{- x ^{3} + 18 x ^{2} - 108 x + 216}{27}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(- \frac{1}{3} x)^{3} + 3 (- \frac{1}{3} x)^{2} \cdot 2 + 3 (- \frac{1}{3} x) \cdot 2^{2} + 2^{3} : \frac{- x ^{3} + 18 x ^{2} - 108 x + 216}{27}

= \frac{- x ^{3} + 18 x ^{2} - 108 x + 216}{27}

(x - 1 - i)^{2}

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

(x + 4)^{2} (\frac{ln ( x + 4 )}{x + 4})^{'} + ln (x + 4)

(2 x + 3 y)^{2}

\frac{- 3 s ^{3} + 7 s ^{2} + 32 s + 16}{s ^{2} ( s ^{2} + 8 )}

What is expand (-1/3 x+2)^3 ?
The solution to expand (-1/3 x+2)^3 is (-x^3+18x^2-108x+216)/(27)