en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor xe^x+Ye^{-x}

Solution

factor

x e^{x} + Y e^{- x}

Solution

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

Solution steps

x e^{x} + Y e^{- x}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

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

= x e^{- x} e^{2 x} + Y e^{- x}

Factor out common term

e^{- x}

= e^{- x} (x e^{2 x} + Y)

Popular Examples

factor a^2+2abt+b^2t^2 factor

a^{2} + 2 ab t + b^{2} t^{2}

factor-e^{2y-lan(y)}factor

- e^{2 y - l an (y)}

simplify a*derivative of (y(y^2))simplify

a \cdot \frac{d}{d x} ((y) (y^{2}))

factor 78(derivative of 2)factor

78 (\frac{d}{d x} (2))

factor derivative of 5x^2+3x+5x factor

\frac{d}{d x} (5 x^{2} + 3 x) + 5 x

Frequently Asked Questions (FAQ)

What is factor xe^x+Ye^{-x} ?
The solution to factor xe^x+Ye^{-x} is e^{-x}(e^{2x}x+Y)