What is expand (-1/2)(1/2 (1-x)-1/4) ?

The solution to expand (-1/2)(1/2 (1-x)-1/4) is -(1-x)/4+1/8

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expand (-1/2)(1/2 (1-x)-1/4)

expand

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

- \frac{1 - x}{4} + \frac{1}{8}

Solution steps

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

Apply rule:

(- a) = - a

(- \frac{1}{2}) = - \frac{1}{2}

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

- \frac{1}{2} \cdot \frac{1}{2} (1 - x) - (- \frac{1}{2}) \frac{1}{4} : - \frac{1 - x}{4} + \frac{1}{8}

= - \frac{1 - x}{4} + \frac{1}{8}

\frac{1}{8} (x - \frac{1}{28} sin (28 x))

(sin (y) - y sin (x)) d x + (cos (x) + x cos (y))

- i (x + i y)^{2}

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

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

What is expand (-1/2)(1/2 (1-x)-1/4) ?
The solution to expand (-1/2)(1/2 (1-x)-1/4) is -(1-x)/4+1/8