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

The solution to expand (3e^{4x}+2)^2 is 9e^{8x}+12e^{4x}+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

9 e^{8 x} + 12 e^{4 x} + 4

Solution steps

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

Apply Perfect Square Formula:

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

a = 3 e^{4 x}, b = 2

= (3 e^{4 x})^{2} + 2 \cdot 3 e^{4 x} \cdot 2 + 2^{2}

Simplify

(3 e^{4 x})^{2} + 2 \cdot 3 e^{4 x} \cdot 2 + 2^{2} : 9 e^{8 x} + 12 e^{4 x} + 4

= 9 e^{8 x} + 12 e^{4 x} + 4

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

3 (x + δ)^{2}

e^{2 (x + y)}

\frac{9}{s ( s ^{2} + 2 s + 9 )}

(2 x - 1) \frac{d y}{d x}

What is expand (3e^{4x}+2)^2 ?
The solution to expand (3e^{4x}+2)^2 is 9e^{8x}+12e^{4x}+4