What is expand 1/3 (x-5)^3 ?

The solution to expand 1/3 (x-5)^3 is (x^3)/3-5x^2+25x-125/3

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expand 1/3 (x-5)^3

expand

\frac{1}{3} (x - 5)^{3}

\frac{x ^{3}}{3} - 5 x^{2} + 25 x - \frac{125}{3}

Solution steps

\frac{1}{3} (x - 5)^{3}

Expand

(x - 5)^{3} : x^{3} - 15 x^{2} + 75 x - 125

= \frac{1}{3} (x^{3} - 15 x^{2} + 75 x - 125)

Distribute parentheses

= \frac{1}{3} x^{3} + \frac{1}{3} (- 15 x^{2}) + \frac{1}{3} \cdot 75 x + \frac{1}{3} (- 125)

Simplify

\frac{1}{3} x^{3} + \frac{1}{3} (- 15 x^{2}) + \frac{1}{3} \cdot 75 x + \frac{1}{3} (- 125) : \frac{x ^{3}}{3} - 5 x^{2} + 25 x - \frac{125}{3}

= \frac{x ^{3}}{3} - 5 x^{2} + 25 x - \frac{125}{3}

(3 + 7) (2 + 10)

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

2 y (3 x y - 4 y)

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

sec (x) (1 + x tan (x))

What is expand 1/3 (x-5)^3 ?
The solution to expand 1/3 (x-5)^3 is (x^3)/3-5x^2+25x-125/3