What is expand (4(e^{2x}-1))/(e^{x-1)} ?

The solution to expand (4(e^{2x}-1))/(e^{x-1)} is 4e^{x+1}-4/(e^{x-1)}

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expand (4(e^{2x}-1))/(e^{x-1)}

expand

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

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

Solution steps

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

Expand

4 (e^{2 x} - 1) : 4 e^{2 x} - 4

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

Apply the fraction rule:

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

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

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

Cancel

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

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

(π + 2) 5

\frac{3 π + 8}{12 ( π - 1 )}

(2 x + x y^{2}) d x - (4 y + x^{2} y) d y

232

- 4 x - 2 (2 x + 10 = - 116)

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