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Popular >

expand t^2e^tu(t-1)

Solution

expand

t^{2} e^{t} u (t - 1)

Solution

e^{t} t^{3} u - e^{t} t^{2} u

Solution steps

t^{2} e^{t} u (t - 1)

= e^{t} t^{2} u (t - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = t^{2} e^{t} u, b = t, c = 1

= t^{2} e^{t} u t - t^{2} e^{t} u \cdot 1

= e^{t} t^{2} t u - 1 \cdot e^{t} t^{2} u

Simplify

e^{t} t^{2} t u - 1 \cdot e^{t} t^{2} u : e^{t} t^{3} u - e^{t} t^{2} u

= e^{t} t^{3} u - e^{t} t^{2} u

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Frequently Asked Questions (FAQ)

What is expand t^2e^tu(t-1) ?
The solution to expand t^2e^tu(t-1) is e^tt^3u-e^tt^2u