What is expand 11/3 (-e^{-x}x^2-2e^{-x}x-2e^{-x})(e^x) ?

The solution to expand 11/3 (-e^{-x}x^2-2e^{-x}x-2e^{-x})(e^x) is -(11x^2)/3-(22x)/3-22/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 11/3 (-e^{-x}x^2-2e^{-x}x-2e^{-x})(e^x)

expand

\frac{11}{3} (- e^{- x} x^{2} - 2 e^{- x} x - 2 e^{- x}) (e^{x})

- \frac{11 x ^{2}}{3} - \frac{22 x}{3} - \frac{22}{3}

Solution steps

\frac{11}{3} (- e^{- x} x^{2} - 2 e^{- x} x - 2 e^{- x}) (e^{x})

= \frac{11}{3} (e^{x}) (- e^{- x} x^{2} - 2 e^{- x} x - 2 e^{- x})

Distribute parentheses

= \frac{11}{3} (e^{x}) (- e^{- x} x^{2}) + \frac{11}{3} (e^{x}) (- 2 e^{- x} x) + \frac{11}{3} (e^{x}) (- 2 e^{- x})

Apply minus-plus rules

+ (- a) = - a

= - \frac{11}{3} e^{- x} x^{2} (e^{x}) - 2 \cdot \frac{11}{3} e^{- x} x (e^{x}) - 2 \cdot \frac{11}{3} e^{- x} (e^{x})

Simplify

- \frac{11}{3} e^{- x} x^{2} (e^{x}) - 2 \cdot \frac{11}{3} e^{- x} x (e^{x}) - 2 \cdot \frac{11}{3} e^{- x} (e^{x}) : - \frac{11 x ^{2}}{3} - \frac{22 x}{3} - \frac{22}{3}

= - \frac{11 x ^{2}}{3} - \frac{22 x}{3} - \frac{22}{3}

(3 - 7) (4 + 3)

\frac{2 ( π - 8 )}{16}

\frac{1}{( 2 ( n + 1 ) )}

(500 + \frac{c}{3} - c) (100 - \frac{2 c}{15})

- 3 (6 x + 2 y = 140)

What is expand 11/3 (-e^{-x}x^2-2e^{-x}x-2e^{-x})(e^x) ?
The solution to expand 11/3 (-e^{-x}x^2-2e^{-x}x-2e^{-x})(e^x) is -(11x^2)/3-(22x)/3-22/3