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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Multiply the numbers:

2 \cdot 2 = 4

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

\frac{- 2 e ^{- x^{2}} x ^{3} - 4 e ^{- x^{2}} x}{( x ^{2} + 1 ) ^{2}}

\frac{1}{s ( a ^{2} + s ^{2} )}

\frac{18 s - 9 ( s ^{2} + 9 )}{( s ^{2} + 9 ) ^{2}}

(n (n - 1) + m (m - 1) + nm) \cdot (n + m - 2)!

- \frac{d}{d s} (\frac{12 ( s + 7 )}{( s ^{2} - 14 s + 13 ) ^{2}})

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