What is expand x-1/6 x(x-1)+1/60 x(x-1)(x-4) ?

The solution to expand x-1/6 x(x-1)+1/60 x(x-1)(x-4) is (37x}{30}-(x^2)/4+\frac{x^3)/(60)

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expand x-1/6 x(x-1)+1/60 x(x-1)(x-4)

expand

x - \frac{1}{6} x (x - 1) + \frac{1}{60} x (x - 1) (x - 4)

\frac{37 x}{30} - \frac{x ^{2}}{4} + \frac{x ^{3}}{60}

Solution steps

x - \frac{1}{6} x (x - 1) + \frac{1}{60} x (x - 1) (x - 4)

Expand

- \frac{1}{6} x (x - 1) : - \frac{x ^{2}}{6} + \frac{x}{6}

= x - \frac{x ^{2}}{6} + \frac{x}{6} + \frac{1}{60} x (x - 1) (x - 4)

Expand

\frac{1}{60} x (x - 1) (x - 4) : \frac{x ^{3}}{60} - \frac{x ^{2}}{12} + \frac{x}{15}

= x - \frac{x ^{2}}{6} + \frac{x}{6} + \frac{x ^{3}}{60} - \frac{x ^{2}}{12} + \frac{x}{15}

Join

x - \frac{x ^{2}}{6} + \frac{x}{6} + \frac{x ^{3}}{60} - \frac{x ^{2}}{12} + \frac{x}{15} : \frac{37 x}{30} - \frac{x ^{2}}{4} + \frac{x ^{3}}{60}

= \frac{37 x}{30} - \frac{x ^{2}}{4} + \frac{x ^{3}}{60}

- 2 (sin (2 x) + cos (2 x))

(x - \frac{1}{4}) (x - \frac{1}{2})

\frac{( 1 + sin ( θ ) - cos ( θ ) ) ^{2}}{2 ( 1 - cos ( θ ) )}

(3 - x - 2)^{2}

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

What is expand x-1/6 x(x-1)+1/60 x(x-1)(x-4) ?
The solution to expand x-1/6 x(x-1)+1/60 x(x-1)(x-4) is (37x}{30}-(x^2)/4+\frac{x^3)/(60)