展开-pi/4 (x-pi/2)

解答

展开

- \frac{π}{4} (x - \frac{π}{2})

- \frac{π x}{4} + \frac{π ^{2}}{8}

求解步骤

- \frac{π}{4} (x - \frac{π}{2})

使用分配律:

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}

使用加减运算法则

- (- a) = a

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

化简

- \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}

e x p an d x ((x + 2) (x + 3) (x + 8))

e x p an d e^{t} (- e^{- t} + 1)

e x p an d x y (1 + x y) \frac{d y}{d x}

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

e x p an d 2 (a - 2 e)