展开 2(e-1)+(e^6+e^2-2)/(4e^2)

解答

展开

2 (e - 1) + \frac{e ^{6} + e ^{2} - 2}{4 e ^{2}}

2 e - 2 + \frac{e ^{4}}{4} + \frac{1}{4} - \frac{1}{2 e ^{2}}

十进制

17.26843 \dots

求解步骤

2 (e - 1) + \frac{e ^{6} + e ^{2} - 2}{4 e ^{2}}

乘开

2 (e - 1) : 2 e - 2

= 2 e - 2 + \frac{e ^{6} + e ^{2} - 2}{4 e ^{2}}

化简

2 e - 2 + \frac{e ^{6} + e ^{2} - 2}{4 e ^{2}} : 2 e - 2 + \frac{e ^{4}}{4} + \frac{1}{4} - \frac{1}{2 e ^{2}}

= 2 e - 2 + \frac{e ^{4}}{4} + \frac{1}{4} - \frac{1}{2 e ^{2}}

e x p an d \frac{1}{t ^{2}} (1 + e^{2 t} - 2 e^{t})

e x p an d \frac{s}{( s + 4 ) ( s + 8 )}

e x p an d \frac{- x ^{2} + 64}{( x ^{2} + 64 ) ^{2}}

e x p an d x (18 x^{2} + 23 x y + 18 y^{2} = 19)

e x p an d \frac{x}{2 π} - \frac{1}{8} (100 - x)