en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^x-x)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{x}, b = x

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

Apply exponent rule:

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

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

Popular Examples

expand (2x-1)sqrt(2x-1)expand

(2 x - 1) 2 x - 1

expand (4e^{-2s}-4-2s)/(s(s+2))expand

\frac{4 e ^{- 2 s} - 4 - 2 s}{s ( s + 2 )}

simplify (x+2)(x-sqrt(3))(x+sqrt(3))simplify

(x + 2) (x - 3) (x + 3)

simplify (x-2)(x+sqrt(3))(x-sqrt(3))simplify

(x - 2) (x + 3) (x - 3)

expand (2x^3-xy^2-2y+3)dx-(x^2y+2x)dy expand

(2 x^{3} - x y^{2} - 2 y + 3) d x - (x^{2} y + 2 x) d y

Frequently Asked Questions (FAQ)

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