What is expand (e^{(a+x)t}-e^{at})/x ?

The solution to expand (e^{(a+x)t}-e^{at})/x is (e^{at+xt})/x-(e^{at})/x

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expand (e^{(a+x)t}-e^{at})/x

expand

\frac{e ^{(a + x) t} - e ^{a t}}{x}

\frac{e ^{a t + x t}}{x} - \frac{e ^{a t}}{x}

Solution steps

\frac{e ^{(a + x) t} - e ^{a t}}{x}

Expand

(a + x) t : a t + x t

= \frac{e ^{a t + x t} - e ^{a t}}{x}

Apply the fraction rule:

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

\frac{e ^{a t + x t} - e ^{a t}}{x} = \frac{e ^{a t + x t}}{x} - \frac{e ^{a t}}{x}

= \frac{e ^{a t + x t}}{x} - \frac{e ^{a t}}{x}

4 (x^{2} - 4 x + 3)^{2}

\frac{1}{3 ( 2 t ^{2} - 1 )}

\frac{1}{( jω + 2 ) ( jω + 4 )}

6 (525)

x ln (x) - (x + 1) ln (x - 1)

What is expand (e^{(a+x)t}-e^{at})/x ?
The solution to expand (e^{(a+x)t}-e^{at})/x is (e^{at+xt})/x-(e^{at})/x