What is expand (e^{0.5x}-2)^2 ?

The solution to expand (e^{0.5x}-2)^2 is e^x-4e^{0.5x}+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^{0.5x}-2)^2

expand

(e^{0.5 x} - 2)^{2}

e^{x} - 4 e^{0.5 x} + 4

Solution steps

(e^{0.5 x} - 2)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = e^{0.5 x}, b = 2

= (e^{0.5 x})^{2} - 2 e^{0.5 x} \cdot 2 + 2^{2}

Simplify

(e^{0.5 x})^{2} - 2 e^{0.5 x} \cdot 2 + 2^{2} : e^{x} - 4 e^{0.5 x} + 4

= e^{x} - 4 e^{0.5 x} + 4

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

8 x e^{- 0.4 x} + 8 (x - 7.556) e^{- 0.4 (x - 7.556)}

5^{k} \cdot ln (k + 1) \cdot (k + 1)

\frac{e ^{- s} + s}{s ( s - 6 ) ( s + 1 )}

(- 4 - x - 3) (- 4 + x - 3)

What is expand (e^{0.5x}-2)^2 ?
The solution to expand (e^{0.5x}-2)^2 is e^x-4e^{0.5x}+4