What is factor e^{2x}-3e^x+2 ?

The solution to factor e^{2x}-3e^x+2 is (e^x-1)(e^x-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor e^{2x}-3e^x+2

factor

e^{2 x} - 3 e^{x} + 2

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

Solution steps

e^{2 x} - 3 e^{x} + 2

Apply exponent rule:

a^{b c} = (a^{b})^{c}

e^{2 x} = (e^{x})^{2}

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

Break the expression into groups

= ((e^{x})^{2} - e^{x}) + (- 2 e^{x} + 2)

Factor out

e^{x}

from

(e^{x})^{2} - e^{x} : e^{x} (e^{x} - 1)

Factor out

- 2

from

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

= e^{x} (e^{x} - 1) - 2 (e^{x} - 1)

Factor out common term

e^{x} - 1

= (e^{x} - 1) (e^{x} - 2)

\frac{1}{x ^{2} + x ^{3}}

(- C s in x) + tan (x) (C cos (x))

3 x^{3} - 4 - 20

f (x) = sin (x) sinh (x)

- x^{2} + 4 xx + 14

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