What is expand (0.4e^{6T}-0.4e^T)2z ?

The solution to expand (0.4e^{6T}-0.4e^T)2z is 0.8e^{6T}z-0.8e^Tz

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expand (0.4e^{6T}-0.4e^T)2z

expand

(0.4 e^{6 T} - 0.4 e^{T}) 2 z

0.8 e^{6 T} z - 0.8 e^{T} z

Solution steps

(0.4 e^{6 T} - 0.4 e^{T}) \cdot 2 z

= 2 z (0.4 e^{6 T} - 0.4 e^{T})

Apply the distributive law:

a (b - c) = ab - a c

a = 2 z, b = 0.4 e^{6 T}, c = 0.4 e^{T}

= 2 z \cdot 0.4 e^{6 T} - 2 z \cdot 0.4 e^{T}

= 2 \cdot 0.4 e^{6 T} z - 2 \cdot 0.4 e^{T} z

Multiply the numbers:

2 \cdot 0.4 = 0.8

= 0.8 e^{6 T} z - 0.8 e^{T} z

3 (\frac{x}{3} - 10 = - 7)

(sin (x) sin (y) - x e^{y}) d y

\frac{d}{d t} ((x) (t^{3} + t - 3))

\frac{1}{5} (1 + e^{2 x})

(x + 3) \cdot ln (x + 3)

What is expand (0.4e^{6T}-0.4e^T)2z ?
The solution to expand (0.4e^{6T}-0.4e^T)2z is 0.8e^{6T}z-0.8e^Tz