en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-x)^2*e^{-x}

Solution

simplify

(1 - x)^{2} \cdot e^{- x}

Solution

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

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{x}} (- x + 1)^{2}

Multiply fractions:

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

= \frac{1 \cdot ( 1 - x ) ^{2}}{e ^{x}}

Multiply:

1 \cdot (1 - x)^{2} = (1 - x)^{2}

= \frac{( 1 - x ) ^{2}}{e ^{x}}

Popular Examples

simplify 4*4*4*4*4_{HsHsHsHsHsAuAuAuAusnsnsn}simplify

4 \cdot 4 \cdot 4 \cdot 4 \cdot 4_{HsHsHsHsHs A u A u A u A u s n s n s n}

simplify fxx(1/2 ,(sqrt(2))/2)simplify

f xx (\frac{1}{2}, \frac{2}{2})

derivative of e^{sqrt(2x+y^2)}

\frac{d}{d x} (e^{2 x + y^{2}})

simplify 50*10^{-3}*((7.85*10^{-7})/2)simplify

50 \cdot 1 0^{- 3} \cdot (\frac{7.85 \cdot 1 0 ^{- 7}}{2})

simplify (x-1)^2*e^{-2x^'}simplify

(x - 1)^{2} \cdot e^{- 2 x^{^{'}}}

Frequently Asked Questions (FAQ)

What is (1-x)^2*e^{-x} ?
The solution to (1-x)^2*e^{-x} is ((-x+1)^2)/(e^x)