What is expand (e^x+e^6)^2 ?

The solution to expand (e^x+e^6)^2 is e^{2x}+2e^{x+6}+e^{12}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^x+e^6)^2

expand

(e^{x} + e^{6})^{2}

e^{2 x} + 2 e^{x + 6} + e^{12}

Solution steps

(e^{x} + e^{6})^{2}

Apply Perfect Square Formula:

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

a = e^{x}, b = e^{6}

= (e^{x})^{2} + 2 e^{x} e^{6} + (e^{6})^{2}

Simplify

(e^{x})^{2} + 2 e^{x} e^{6} + (e^{6})^{2} : e^{2 x} + 2 e^{x + 6} + e^{12}

= e^{2 x} + 2 e^{x + 6} + e^{12}

\frac{s}{( s + 1 ) \cdot ( s + 2 )}

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

(3 e^{3 x + 1} + e)^{4}

(4)^{\frac{1}{2}} - (4)^{\frac{1}{2}}

\frac{( I n ( 1 + 3 x ) )}{( x )}

What is expand (e^x+e^6)^2 ?
The solution to expand (e^x+e^6)^2 is e^{2x}+2e^{x+6}+e^{12}