en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand e^{at}u(t-1)

Solution

expand

e^{a t} u (t - 1)

Solution

e^{a t} t u - e^{a t} u

Solution steps

e^{a t} u (t - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{a t} u, b = t, c = 1

= e^{a t} u t - e^{a t} u \cdot 1

= e^{a t} t u - 1 \cdot e^{a t} u

Multiply:

1 \cdot e^{a t} = e^{a t}

= e^{a t} t u - e^{a t} u

Popular Examples

d/(dz(w))((w(z(w),x(w),y(w)))(x(w)+y(w)))

\frac{d}{d z ( w )} ((w (z (w), x (w), y (w))) (x (w) + y (w)))

expand ((12x-7)(12x+7))/(16)expand

\frac{( 12 x - 7 ) ( 12 x + 7 )}{16}

expand 1+(8x-4)e^{-2x}expand

1 + (8 x - 4) e^{- 2 x}

expand (4e+5f)^2 expand

(4 e + 5 f)^{2}

expand (e^t-e^{2t})^2 expand

(e^{t} - e^{2 t})^{2}

Frequently Asked Questions (FAQ)

What is expand e^{at}u(t-1) ?
The solution to expand e^{at}u(t-1) is e^{at}tu-e^{at}u