展开 10(10-(e^{30}-1)/(3e^{30)})

解答

展开

10 (10 - \frac{e ^{30} - 1}{3 e ^{30}})

100 - \frac{10}{3} + \frac{10}{3 e ^{30}}

十进制

96.66666 \dots

求解步骤

10 (10 - \frac{e ^{30} - 1}{3 e ^{30}})

使用分配律:

a (b - c) = ab - a c

a = 10, b = 10, c = \frac{e ^{30} - 1}{3 e ^{30}}

= 10 \cdot 10 - 10 \cdot \frac{e ^{30} - 1}{3 e ^{30}}

化简

10 \cdot 10 - 10 \cdot \frac{e ^{30} - 1}{3 e ^{30}} : 100 - \frac{10}{3} + \frac{10}{3 e ^{30}}

= 100 - \frac{10}{3} + \frac{10}{3 e ^{30}}

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

s im pl i f y (x^{2} + 5) (3 - x)

e x p an d - \frac{2 ( 1 + 2026 )}{45}

e x p an d 2 (- 3 y = - 6)

e x p an d (3 x + 8 - 2) \cdot (3 x - 8 + 2)