What is expand (3e^{3x}+2)^2 ?

The solution to expand (3e^{3x}+2)^2 is 9e^{6x}+12e^{3x}+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3e^{3x}+2)^2

expand

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

9 e^{6 x} + 12 e^{3 x} + 4

Solution steps

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

Apply Perfect Square Formula:

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

a = 3 e^{3 x}, b = 2

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

Simplify

(3 e^{3 x})^{2} + 2 \cdot 3 e^{3 x} \cdot 2 + 2^{2} : 9 e^{6 x} + 12 e^{3 x} + 4

= 9 e^{6 x} + 12 e^{3 x} + 4

\frac{x - 4}{( x + 1 ) ( x - 2 )}

\frac{( ( k + 1 ) ( 2 k + 3 ) ( 7 k + 8 ) )}{6}

\frac{( y - 2 ) ^{2}}{3}

\frac{4}{3 π ( x + 2 ) ^{3}}

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

What is expand (3e^{3x}+2)^2 ?
The solution to expand (3e^{3x}+2)^2 is 9e^{6x}+12e^{3x}+4