What is expand (x^2+1)(-e^{-x}) ?

The solution to expand (x^2+1)(-e^{-x}) is -e^{-x}x^2-e^{-x}

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = (- e^{- x}), b = x^{2}, c = 1

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

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

Simplify

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

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

5 x + 4 (- 4 x + 1)

\frac{( x + y i ) ^{5}}{( x ^{2} + y ^{2} ) ^{2}}

(z - 1)^{2} (0.02 + \frac{0.05 ( z + 1 ) K}{( z - 1 ) ^{2}})

10 (1 + 3 b = - 20)

\frac{\partial}{\partial q} ((10 - p (q) - q) q) - 4 q

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