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

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

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expand (2-x/3)^3

expand

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

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

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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

(x - 2 - 3) (x - 2 + 3)

(a - x)^{2}

(sec (θ) - tan (θ)) (csc (θ) + 1)

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

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