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}

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

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

(3 n - 3) 2

\frac{12 - 25}{2} - \frac{2}{3} \cdot (2 \cdot (- 2.9342) + 0.73683)

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

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