en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

Popular Examples

simplify (sqrt(40))^2 simplify

(40)^{2}

simplify (0.1a^2b^3)(2ab^4)(5a^3bc)simplify

(0.1 a^{2} b^{3}) (2 a b^{4}) (5 a^{3} b c)

simplify-e^{-0/4}(0+4)simplify

- e^{- \frac{0}{4}} (0 + 4)

simplify 1/2 e^{-5/2}simplify

\frac{1}{2} e^{- \frac{5}{2}}

simplify 1.82(10^{-6})simplify

1.82 (1 0^{- 6})

Frequently Asked Questions (FAQ)

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