What is expand (3(e^4-1))/(2e^4) ?

The solution to expand (3(e^4-1))/(2e^4) is 3/2-3/(2e^4)

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expand (3(e^4-1))/(2e^4)

expand

\frac{3 ( e ^{4} - 1 )}{2 e ^{4}}

\frac{3}{2} - \frac{3}{2 e ^{4}}

Decimal Notation

1.47252 \dots

Solution steps

\frac{3 ( e ^{4} - 1 )}{2 e ^{4}}

Expand

3 (e^{4} - 1) : 3 e^{4} - 3

= \frac{3 e ^{4} - 3}{2 e ^{4}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{3 e ^{4} - 3}{2 e ^{4}} = \frac{3 e ^{4}}{2 e ^{4}} - \frac{3}{2 e ^{4}}

= \frac{3 e ^{4}}{2 e ^{4}} - \frac{3}{2 e ^{4}}

Cancel

\frac{3 e ^{4}}{2 e ^{4}} : \frac{3}{2}

= \frac{3}{2} - \frac{3}{2 e ^{4}}

\frac{20 e ^{- 4 x}}{x ( x ^{2} + 4 x + 20 )}

- \frac{3 ( 4 x ^{3} + 6 x ^{2} h + 4 x h ^{2} + h ^{3} )}{x ^{4} ( x + h ) ^{4}}

\frac{1}{( a - 2 x ) ^{2} ( b - x )}

\frac{12 x}{( x ^{2} + 6 ) ^{2}}

- \frac{2 x}{( x ^{2} - 4 ) ^{2}}

What is expand (3(e^4-1))/(2e^4) ?
The solution to expand (3(e^4-1))/(2e^4) is 3/2-3/(2e^4)