What is expand 2(e-1)+(e^6+e^2-2)/(4e^2) ?

The solution to expand 2(e-1)+(e^6+e^2-2)/(4e^2) is 2e-2+(e^4)/4+1/4-1/(2e^2)

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expand 2(e-1)+(e^6+e^2-2)/(4e^2)

expand

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}}

Solution steps

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

Expand

2 (e - 1) : 2 e - 2

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

Simplify

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}}

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

\frac{s}{( s + 4 ) ( s + 8 )}

\frac{- x ^{2} + 64}{( x ^{2} + 64 ) ^{2}}

x (18 x^{2} + 23 x y + 18 y^{2} = 19)

\frac{x}{2 π} - \frac{1}{8} (100 - x)

What is expand 2(e-1)+(e^6+e^2-2)/(4e^2) ?
The solution to expand 2(e-1)+(e^6+e^2-2)/(4e^2) is 2e-2+(e^4)/4+1/4-1/(2e^2)