en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((e-1)^2)/2

Solution

expand

\frac{( e - 1 ) ^{2}}{2}

Solution

- e + \frac{1}{2} + \frac{e ^{2}}{2}

+1

Decimal Notation

1.47624 \dots

Solution steps

\frac{( e - 1 ) ^{2}}{2}

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

= \frac{e ^{2} - 2 e + 1}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{e ^{2} - 2 e + 1}{2} = \frac{e ^{2}}{2} - \frac{2 e}{2} + \frac{1}{2}

= \frac{e ^{2}}{2} - \frac{2 e}{2} + \frac{1}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{e ^{2}}{2} - e + \frac{1}{2}

Group like terms

= - e + \frac{1}{2} + \frac{e ^{2}}{2}

Popular Examples

expand (e-2sqrt(3))^2 expand

(e - 23)^{2}

simplify 2(3+sqrt(5))simplify

2 (3 + 5)

expand 60000(-(e^{(-x-6)/6}x)/(6)+3e^{-x/6-1})expand

60000 (- \frac{e ^{\frac{- x - 6}{6}} x}{6} + 3 e^{- \frac{x}{6} - 1})

((x^2+y^2)^2)/((x^2-y^2))

\frac{( x ^{2} + y ^{2} ) ^{2}}{( x ^{2} - y ^{2} )}

expand (2x+3)/(x(x^2-2))expand

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

Frequently Asked Questions (FAQ)

What is expand ((e-1)^2)/2 ?
The solution to expand ((e-1)^2)/2 is -e+1/2+(e^2)/2