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

The solution to expand-pi/4 (x-pi/2) is -(pix)/4+(pi^2)/8

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

expand

- \frac{π}{4} (x - \frac{π}{2})

- \frac{π x}{4} + \frac{π ^{2}}{8}

Solution steps

- \frac{π}{4} (x - \frac{π}{2})

Apply the distributive law:

a (b - c) = ab - a c

a = - \frac{π}{4}, b = x, c = \frac{π}{2}

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

Apply minus-plus rules

- (- a) = a

= - \frac{π}{4} x + \frac{π}{4} \cdot \frac{π}{2}

Simplify

- \frac{π}{4} x + \frac{π}{4} \cdot \frac{π}{2} : - \frac{π x}{4} + \frac{π ^{2}}{8}

= - \frac{π x}{4} + \frac{π ^{2}}{8}

x ((x + 2) (x + 3) (x + 8))

e^{t} (- e^{- t} + 1)

x y (1 + x y) \frac{d y}{d x}

d i s t r ib u t e - 4 x - 2 (x + h)

2 (a - 2 e)

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