en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand te^tu(t-1)

Solution

expand

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

Solution

e^{t} t^{2} u - e^{t} t u

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Simplify

e^{t} tt u - 1 \cdot e^{t} t u : e^{t} t^{2} u - e^{t} t u

= e^{t} t^{2} u - e^{t} t u

Popular Examples

expand x(ln(xy)+y^2=x)expand

x (ln (x y) + y^{2} = x)

expand (x^2+y)dx expand

(x^{2} + y) d x

expand (sin(3x)-sin(x))*(cos(3x)+cos(x))expand

(sin (3 x) - sin (x)) \cdot (cos (3 x) + cos (x))

expand ((x^2-2)(x+3))/(x+4)expand

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

expand (5t^2e^{-8t}-e^{7t}cos(sqrt(5)t))(s)expand

(5 t^{2} e^{- 8 t} - e^{7 t} cos (5 t)) (s)

Frequently Asked Questions (FAQ)

What is expand te^tu(t-1) ?
The solution to expand te^tu(t-1) is e^tt^2u-e^ttu