What is expand (e^{2t}+1)^2 ?

The solution to expand (e^{2t}+1)^2 is e^{4t}+2e^{2t}+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^{2t}+1)^2

expand

(e^{2 t} + 1)^{2}

e^{4 t} + 2 e^{2 t} + 1

Solution steps

(e^{2 t} + 1)^{2}

Apply Perfect Square Formula:

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

a = e^{2 t}, b = 1

= (e^{2 t})^{2} + 2 e^{2 t} \cdot 1 + 1^{2}

Simplify

(e^{2 t})^{2} + 2 e^{2 t} \cdot 1 + 1^{2} : e^{4 t} + 2 e^{2 t} + 1

= e^{4 t} + 2 e^{2 t} + 1

cos (t) u (t - π)

x^{2} \cdot (50 + \frac{3 x}{2}) - 1000 x

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

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

1 - s t e p (t - 1)

What is expand (e^{2t}+1)^2 ?
The solution to expand (e^{2t}+1)^2 is e^{4t}+2e^{2t}+1