展开-3pi(3*2^{1/2}-5)

解答

展开

- 3 π (3 \cdot 2^{\frac{1}{2}} - 5)

- 9 \cdot 2^{\frac{1}{2}} π + 15 π

十进制

7.13794 \dots

求解步骤

- 3 π (3 \cdot 2^{\frac{1}{2}} - 5)

使用分配律:

a (b - c) = ab - a c

a = - 3 π, b = 3 \cdot 2^{\frac{1}{2}}, c = 5

= - 3 π 3 \cdot 2^{\frac{1}{2}} - (- 3 π) \cdot 5

使用加减运算法则

- (- a) = a

= - 3 \cdot 3 \cdot 2^{\frac{1}{2}} π + 3 \cdot 5 π

化简

- 3 \cdot 3 \cdot 2^{\frac{1}{2}} π + 3 \cdot 5 π : - 9 \cdot 2^{\frac{1}{2}} π + 15 π

= - 9 \cdot 2^{\frac{1}{2}} π + 15 π

e x p an d (t - e^{2 t}) (3 + 2 e^{2 t})

e x p an d (2 t + 3) \cdot (ln (2 t - 3))

e x p an d 4 (x - 1) - 2 (3 x + 5 = - 3 x - 1)

e x p an d e^{P} (P + P P)

e x p an d \frac{( x ^{2} - 1 )}{( x - 4 ) \cdot 5}