What is expand l(t-1)2e^3t ?

The solution to expand l(t-1)2e^3t is 2e^3lt^2-2e^3lt

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expand l(t-1)2e^3t

expand

l (t - 1) 2 e^{3} t

2 e^{3} l t^{2} - 2 e^{3} lt

Solution steps

l (t - 1) \cdot 2 e^{3} t

= 2 e^{3} lt (t - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = l \cdot 2 e^{3} t, b = t, c = 1

= l \cdot 2 e^{3} tt - l \cdot 2 e^{3} t \cdot 1

= 2 e^{3} ltt - 2 \cdot 1 \cdot e^{3} lt

Simplify

2 e^{3} ltt - 2 \cdot 1 \cdot e^{3} lt : 2 e^{3} l t^{2} - 2 e^{3} lt

= 2 e^{3} l t^{2} - 2 e^{3} lt

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What is expand l(t-1)2e^3t ?
The solution to expand l(t-1)2e^3t is 2e^3lt^2-2e^3lt