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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Multiply the numbers:

2 \cdot 3 = 6

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

cos (7 t) (5 + sinh (3 t) + e^{2 t})

\frac{d}{d t} ((h (t)) (2.8 t + 2.5))

(4 + 5 y i)^{2}

x^{\frac{4}{5}} (x - 2)^{2}

(5 - 2 x i)^{2}

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