en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2+e^x)^2

Solution

expand

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

Solution

4 + 4 e^{x} + e^{2 x}

Solution steps

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

Apply Perfect Square Formula:

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

a = 2, b = e^{x}

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

Simplify

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

= 4 + 4 e^{x} + e^{2 x}

Popular Examples

expand z(w(z,u)=2z-3u)expand

z (w (z, u) = 2 z - 3 u)

expand 8/((x^2+4)(5x+3))expand

\frac{8}{( x ^{2} + 4 ) ( 5 x + 3 )}

((s+2))/(2(s^3+2))

\frac{( s + 2 )}{2 ( s ^{3} + 2 )}

expand (sqrt(x-4)\circ x^2+2x+5)2 expand

(x - 4 \circ x^{2} + 2 x + 5) 2

expand (x^2-x+2)/((x+1)(x-3))expand

\frac{x ^{2} - x + 2}{( x + 1 ) ( x - 3 )}

Frequently Asked Questions (FAQ)

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