en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x^2e^{-x}(3-x)

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

= \frac{1 \cdot x ^{2} ( 3 - x )}{e ^{x}}

Multiply:

1 \cdot x^{2} = x^{2}

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

Popular Examples

simplify (2x^2y^2)(3x^2y^3)simplify

(2 x^{2} y^{2}) (3 x^{2} y^{3})

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

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

simplify 29(1.6*10^{-19})simplify

29 (1.6 \cdot 1 0^{- 19})

simplify 1.5*10^{-2}(0.014)^2 simplify

1.5 \cdot 1 0^{- 2} (0.014)^{2}

simplify (3x^4)(2x^5)(4x^2)simplify

(3 x^{4}) (2 x^{5}) (4 x^{2})

Frequently Asked Questions (FAQ)

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