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

The solution to expand (x(2-x))/(e^x) is (2x)/(e^x)-(x^2)/(e^x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

\frac{2 x}{e ^{x}} - \frac{x ^{2}}{e ^{x}}

Solution steps

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

Expand

x (2 - x) : 2 x - x^{2}

= \frac{2 x - x ^{2}}{e ^{x}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2 x - x ^{2}}{e ^{x}} = \frac{2 x}{e ^{x}} - \frac{x ^{2}}{e ^{x}}

= \frac{2 x}{e ^{x}} - \frac{x ^{2}}{e ^{x}}

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

\frac{1}{a ( a + d )}

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

(ln (x) - 2)^{2}

\frac{sin ( x ) ( 1 - cos ( x ) )}{x ^{2}}

What is expand (x(2-x))/(e^x) ?
The solution to expand (x(2-x))/(e^x) is (2x)/(e^x)-(x^2)/(e^x)