What is expand (1-2e^x)(e^x+w) ?

The solution to expand (1-2e^x)(e^x+w) is e^x+w-2e^{2x}-2e^xw

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1-2e^x)(e^x+w)

expand

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

e^{x} + w - 2 e^{2 x} - 2 e^{x} w

Solution steps

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

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

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

= 1 \cdot e^{x} + 1 \cdot w + (- 2 e^{x}) e^{x} + (- 2 e^{x}) w

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

\frac{( 15 - 3 x )}{( 2 x - 4 ) ( x + 3 )}

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

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

\frac{5 ( - p + 27 )}{3}

3 (x + 2 = 18)

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