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

The solution to expand ((2x+2)^3)/3 is (8x^3)/3+8x^2+8x+8/3

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

expand

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

\frac{8 x ^{3}}{3} + 8 x^{2} + 8 x + \frac{8}{3}

Solution steps

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

(2 x + 2)^{3} = 8 x^{3} + 24 x^{2} + 24 x + 8

= \frac{8 x ^{3} + 24 x ^{2} + 24 x + 8}{3}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{8 x ^{3} + 24 x ^{2} + 24 x + 8}{3} = \frac{8 x ^{3}}{3} + \frac{24 x ^{2}}{3} + \frac{24 x}{3} + \frac{8}{3}

= \frac{8 x ^{3}}{3} + \frac{24 x ^{2}}{3} + \frac{24 x}{3} + \frac{8}{3}

Divide the numbers:

\frac{24}{3} = 8

= \frac{8 x ^{3}}{3} + 8 x^{2} + 8 x + \frac{8}{3}

(x^{2} - 2 x + 3) + i (6 - 2 x)

n \cdot (40 - \frac{n}{2})

(\frac{5}{4} x^{2} - \frac{1}{2 x})^{10}

(e - 1) \cdot π

tan^{2} (θ) \times (cot^{2} (θ) - cos^{2} (θ))

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