en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand e^x(1-e^x)

Solution

expand

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

Solution

e^{x} - e^{2 x}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Simplify

1 \cdot e^{x} - e^{x} e^{x} : e^{x} - e^{2 x}

= e^{x} - e^{2 x}

Popular Examples

expand (x^2+12x-9)/((x+3)(x-3))expand

\frac{x ^{2} + 12 x - 9}{( x + 3 ) ( x - 3 )}

expand x^2+(sqrt(3)-1)x-sqrt(3)expand

x^{2} + (3 - 1) x - 3

expand ((a-1)^4)/4 expand

\frac{( a - 1 ) ^{4}}{4}

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

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

expand 3/((2s+4)^2)expand

\frac{3}{( 2 s + 4 ) ^{2}}

Frequently Asked Questions (FAQ)

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