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

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

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply the numbers:

2 \cdot 3 = 6

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

(5 e^{2} - 2 b + c^{3}) (3 x - 2 y - 5 z + 2)

\frac{b}{s ( s + a )}

\frac{1}{x ^{2} ( x ^{2} + y )}

\frac{0.5 s + 1}{s ( s ^{2} + 6 s + 750 )}

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

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