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

The solution to expand (e^x+e^{2x})^2 is e^{2x}+2e^{3x}+e^{4x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

e^{2 x} + 2 e^{3 x} + e^{4 x}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(e^{x})^{2} + 2 e^{x} e^{2 x} + (e^{2 x})^{2} : e^{2 x} + 2 e^{3 x} + e^{4 x}

= e^{2 x} + 2 e^{3 x} + e^{4 x}

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

(1 + 2 i)^{5}

4 (sin^{4} (x) + cos^{4} (x))

(1 + i 3)^{5}

(x^{2} + y^{2} + 1) d x + x (x - 2 y) d y

What is expand (e^x+e^{2x})^2 ?
The solution to expand (e^x+e^{2x})^2 is e^{2x}+2e^{3x}+e^{4x}