What is expand x-(x^2+4x+3)*e^{-x} ?

The solution to expand x-(x^2+4x+3)*e^{-x} is x-e^{-x}x^2-4e^{-x}x-3e^{-x}

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expand x-(x^2+4x+3)*e^{-x}

expand

x - (x^{2} + 4 x + 3) \cdot e^{- x}

x - e^{- x} x^{2} - 4 e^{- x} x - 3 e^{- x}

Solution steps

x - (x^{2} + 4 x + 3) e^{- x}

= x - e^{- x} (x^{2} + 4 x + 3)

Expand

- e^{- x} (x^{2} + 4 x + 3) : - e^{- x} x^{2} - 4 e^{- x} x - 3 e^{- x}

= x - e^{- x} x^{2} - 4 e^{- x} x - 3 e^{- x}

(t^{2} - t + 5) H (t - 2)

(3 y + x^{4}) d x - x d y

\frac{5 x - 4}{3 x ( x - 1 )}

\frac{\partial}{\partial x} ((z) (x^{2} + z^{2}))

\frac{- s ^{2} + 4 s + 21}{( s ^{2} - 4 s + 29 ) ^{2}}

What is expand x-(x^2+4x+3)*e^{-x} ?
The solution to expand x-(x^2+4x+3)*e^{-x} is x-e^{-x}x^2-4e^{-x}x-3e^{-x}