What is expand 2(Ce^{-2x}+1/3 e^x) ?

The solution to expand 2(Ce^{-2x}+1/3 e^x) is 2e^{-2x}C+2/3 e^x

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expand 2(Ce^{-2x}+1/3 e^x)

expand

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

2 e^{- 2 x} C + \frac{2}{3} e^{x}

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = 2, b = C e^{- 2 x}, c = \frac{1}{3} e^{x}

= 2 C e^{- 2 x} + 2 \cdot \frac{1}{3} e^{x}

= 2 e^{- 2 x} C + 2 \cdot \frac{1}{3} e^{x}

2 \cdot \frac{1}{3} e^{x} = \frac{2}{3} e^{x}

= 2 e^{- 2 x} C + \frac{2}{3} e^{x}

(x - z)^{6}

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

\frac{9 n x ^{2} ( n - 1 )}{2}

64 + 8 X 3

3 (x + 7 = 45)

What is expand 2(Ce^{-2x}+1/3 e^x) ?
The solution to expand 2(Ce^{-2x}+1/3 e^x) is 2e^{-2x}C+2/3 e^x