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

The solution to expand ((x+2)^3)/3 is (x^3)/3+2x^2+4x+8/3

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

expand

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

\frac{x ^{3}}{3} + 2 x^{2} + 4 x + \frac{8}{3}

Solution steps

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

(x + 2)^{3} = x^{3} + 6 x^{2} + 12 x + 8

= \frac{x ^{3} + 6 x ^{2} + 12 x + 8}{3}

Apply the fraction rule:

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

\frac{x ^{3} + 6 x ^{2} + 12 x + 8}{3} = \frac{x ^{3}}{3} + \frac{6 x ^{2}}{3} + \frac{12 x}{3} + \frac{8}{3}

= \frac{x ^{3}}{3} + \frac{6 x ^{2}}{3} + \frac{12 x}{3} + \frac{8}{3}

Divide the numbers:

\frac{6}{3} = 2

= \frac{x ^{3}}{3} + 2 x^{2} + \frac{12 x}{3} + \frac{8}{3}

Divide the numbers:

\frac{12}{3} = 4

= \frac{x ^{3}}{3} + 2 x^{2} + 4 x + \frac{8}{3}

1 + cos (x) (1 + cos (x))

(sec (a) - tan (a)) (sec (a) + tan (a))

y (y^{3} - x) d x + x (y^{3} + x) d y

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

2 (2 + 2)

What is expand ((x+2)^3)/3 ?
The solution to expand ((x+2)^3)/3 is (x^3)/3+2x^2+4x+8/3