What is expand ((x-4)^3)/3 ?

The solution to expand ((x-4)^3)/3 is (x^3)/3-4x^2+16x-64/3

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expand ((x-4)^3)/3

expand

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

\frac{x ^{3}}{3} - 4 x^{2} + 16 x - \frac{64}{3}

Solution steps

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

(x - 4)^{3} = x^{3} - 12 x^{2} + 48 x - 64

= \frac{x ^{3} - 12 x ^{2} + 48 x - 64}{3}

Apply the fraction rule:

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

\frac{x ^{3} - 12 x ^{2} + 48 x - 64}{3} = \frac{x ^{3}}{3} - \frac{12 x ^{2}}{3} + \frac{48 x}{3} - \frac{64}{3}

= \frac{x ^{3}}{3} - \frac{12 x ^{2}}{3} + \frac{48 x}{3} - \frac{64}{3}

Divide the numbers:

\frac{12}{3} = 4

= \frac{x ^{3}}{3} - 4 x^{2} + \frac{48 x}{3} - \frac{64}{3}

Divide the numbers:

\frac{48}{3} = 16

= \frac{x ^{3}}{3} - 4 x^{2} + 16 x - \frac{64}{3}

3 + (- 2) i

- e^{t} (cos (t) - sin (t))

x^{\frac{4}{5}} (5 x - 20)^{2}

((\frac{3590675}{13422})^{\frac{1}{16}} - 1) \cdot 100

(x - n) (\frac{1}{n} + n)

What is expand ((x-4)^3)/3 ?
The solution to expand ((x-4)^3)/3 is (x^3)/3-4x^2+16x-64/3