What is expand (3e^x(e^x-2))/((e^x+2)^2) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3e^x(e^x-2))/((e^x+2)^2)

expand

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

\frac{3 e ^{2 x} - 6 e ^{x}}{e ^{2 x} + 4 e ^{x} + 4}

Solution steps

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

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

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

Expand

3 e^{x} (e^{x} - 2) : 3 e^{2 x} - 6 e^{x}

= \frac{3 e ^{2 x} - 6 e ^{x}}{e ^{2 x} + 4 e ^{x} + 4}

(- x y^{'} (x) + y) + (x y^{'} (x) - y) y

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

9 π (3 - 2)

(2 - 2 sin (θ))^{2}

(x - 2) tan^{2} (3 x - 21) csc^{2} (x^{2} - 9 x + 14)

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