en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand e^x(e^{2x}+1)

Solution

expand

e^{x} (e^{2 x} + 1)

Solution

e^{3 x} + e^{x}

Solution steps

e^{x} (e^{2 x} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = e^{2 x}, c = 1

= e^{x} e^{2 x} + e^{x} \cdot 1

= e^{x} e^{2 x} + 1 \cdot e^{x}

Simplify

e^{x} e^{2 x} + 1 \cdot e^{x} : e^{3 x} + e^{x}

= e^{3 x} + e^{x}

Popular Examples

expand 1/((4x-5)^2)expand

\frac{1}{( 4 x - 5 ) ^{2}}

expand e^{9x}(e^{2x}-e^x)expand

e^{9 x} (e^{2 x} - e^{x})

expand (x-1)/((x+5)(x^2+3))expand

\frac{x - 1}{( x + 5 ) ( x ^{2} + 3 )}

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

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

expand (x-5)/(x(x-1)(x+3))expand

\frac{x - 5}{x ( x - 1 ) ( x + 3 )}

Frequently Asked Questions (FAQ)

What is expand e^x(e^{2x}+1) ?
The solution to expand e^x(e^{2x}+1) is e^{3x}+e^x