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Popular >

expand te^t(2t+4)

Solution

expand

t e^{t} (2 t + 4)

Solution

2 e^{t} t^{2} + 4 e^{t} t

Solution steps

t e^{t} (2 t + 4)

= e^{t} t (2 t + 4)

Apply the distributive law:

a (b + c) = ab + a c

a = t e^{t}, b = 2 t, c = 4

= t e^{t} \cdot 2 t + t e^{t} \cdot 4

= 2 e^{t} tt + 4 e^{t} t

2 e^{t} tt = 2 e^{t} t^{2}

= 2 e^{t} t^{2} + 4 e^{t} t

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Frequently Asked Questions (FAQ)

What is expand te^t(2t+4) ?
The solution to expand te^t(2t+4) is 2e^tt^2+4e^tt