What is expand 2(2*e^{-2x}+1/3*e^x) ?

The solution to expand 2(2*e^{-2x}+1/3*e^x) is 4e^{-2x}+2/3 e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 2(2e^{-2x}+1/3e^x)

expand

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

4 e^{- 2 x} + \frac{2}{3} e^{x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = 2, b = 2 e^{- 2 x}, c = \frac{1}{3} e^{x}

= 2 \cdot 2 e^{- 2 x} + 2 \cdot \frac{1}{3} e^{x}

Simplify

2 \cdot 2 e^{- 2 x} + 2 \cdot \frac{1}{3} e^{x} : 4 e^{- 2 x} + \frac{2}{3} e^{x}

= 4 e^{- 2 x} + \frac{2}{3} e^{x}

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

(x^{\frac{4}{3} - \frac{3}{7}})^{2}

(5 x + y^{2}) d x + y (2 x - x^{2}) d y

\frac{( 9 y ^{4} + 3 x ^{3} - 6 x ^{2} y + x ^{2} )}{( x y ^{2} )}

(2 x + 2)^{7}

What is expand 2(2*e^{-2x}+1/3*e^x) ?
The solution to expand 2(2*e^{-2x}+1/3*e^x) is 4e^{-2x}+2/3 e^x