What is expand (e^y+1)^3 ?

The solution to expand (e^y+1)^3 is e^{3y}+3e^{2y}+3e^y+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^y+1)^3

expand

(e^{y} + 1)^{3}

e^{3 y} + 3 e^{2 y} + 3 e^{y} + 1

Solution steps

(e^{y} + 1)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

a = e^{y}, b = 1

= (e^{y})^{3} + 3 (e^{y})^{2} \cdot 1 + 3 e^{y} \cdot 1^{2} + 1^{3}

Simplify

(e^{y})^{3} + 3 (e^{y})^{2} \cdot 1 + 3 e^{y} \cdot 1^{2} + 1^{3} : e^{3 y} + 3 e^{2 y} + 3 e^{y} + 1

= e^{3 y} + 3 e^{2 y} + 3 e^{y} + 1

- \frac{16 ( x + 6 )}{9 ( y - 8 )}

(a^{2}) (b^{3})

\frac{x ^{2} ( x - 3 )}{5 x ^{2} - 1}

\frac{1000 ( 3 f + 4 w )}{2543}

\frac{4 ( x + 3 )}{3}

What is expand (e^y+1)^3 ?
The solution to expand (e^y+1)^3 is e^{3y}+3e^{2y}+3e^y+1