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

The solution to expand (x-2/3)^3 is (27x^3-54x^2+36x-8)/(27)

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expand (x-2/3)^3

expand

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

\frac{27 x ^{3} - 54 x ^{2} + 36 x - 8}{27}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

x^{3} - 3 x^{2} \frac{2}{3} + 3 x (\frac{2}{3})^{2} - (\frac{2}{3})^{3} : \frac{27 x ^{3} - 54 x ^{2} + 36 x - 8}{27}

= \frac{27 x ^{3} - 54 x ^{2} + 36 x - 8}{27}

sec (B) (csc (B) + 1)

(1 - i) (2, - 1)

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

(3 z - 2) (4 z + 3)

x^{x} (ln (x) + 1)

What is expand (x-2/3)^3 ?
The solution to expand (x-2/3)^3 is (27x^3-54x^2+36x-8)/(27)