en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x-1)e^xx'

Solution

expand

(x - 1) e^{x} x^{'}

Solution

e^{x} xx' - e^{x} x'

Solution steps

(x - 1) e^{x} x^{'}

= e^{x} (x - 1) x^{^{'}}

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x} x^{'}, b = x, c = 1

= e^{x} x^{^{'}} x - e^{x} x^{^{'}} 1

= e^{x} x x^{^{'}} - 1 \cdot e^{x} x^{^{'}}

Multiply:

1 \cdot e^{x} = e^{x}

= e^{x} x x^{^{'}} - e^{x} x^{^{'}}

Popular Examples

expand 1+2x+3x expand

1 + 2 x + 3 x

expand (x-7)/((x-1)(x+1))expand

\frac{x - 7}{( x - 1 ) ( x + 1 )}

expand (3b)/((s+2)(s^2+6s+8))expand

\frac{3 b}{( s + 2 ) ( s ^{2} + 6 s + 8 )}

expand d(10-10e^{-2t})expand

d (10 - 10 e^{- 2 t})

((x+1))/((x+2)9)

\frac{( x + 1 )}{( x + 2 ) 9}

Frequently Asked Questions (FAQ)

What is expand (x-1)e^xx' ?
The solution to expand (x-1)e^xx' is e^xxx'-e^xx'