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

The solution to expand 2(e^{-3x}-3e^{-3x}x) is 2e^{-3x}-6e^{-3x}x

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

expand

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

2 e^{- 3 x} - 6 e^{- 3 x} x

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = 2, b = e^{- 3 x}, c = 3 e^{- 3 x} x

= 2 e^{- 3 x} - 2 \cdot 3 e^{- 3 x} x

Multiply the numbers:

2 \cdot 3 = 6

= 2 e^{- 3 x} - 6 e^{- 3 x} x

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\frac{- x ^{2} + 2 x - 5}{( x + 1 ) ( x ^{2} + 6 x + 9 )}

What is expand 2(e^{-3x}-3e^{-3x}x) ?
The solution to expand 2(e^{-3x}-3e^{-3x}x) is 2e^{-3x}-6e^{-3x}x