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

The solution to expand (e^{2x}-4)^2 is e^{4x}-8e^{2x}+16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^{2x}-4)^2

expand

(e^{2 x} - 4)^{2}

e^{4 x} - 8 e^{2 x} + 16

Solution steps

(e^{2 x} - 4)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(e^{2 x})^{2} - 2 e^{2 x} \cdot 4 + 4^{2} : e^{4 x} - 8 e^{2 x} + 16

= e^{4 x} - 8 e^{2 x} + 16

\frac{12 x - 9 x ^{2} - 4}{2 ( 3 x + 2 )}

\frac{5 x + 1}{( x + 1 ) ( x - 1 ) ( x + 2 )}

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

(x - 2 y) d x + 2 (y - x) y

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

What is expand (e^{2x}-4)^2 ?
The solution to expand (e^{2x}-4)^2 is e^{4x}-8e^{2x}+16