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Popular >

expand (t-1)e^t

Solution

expand

(t - 1) e^{t}

Solution

e^{t} t - e^{t}

Solution steps

(t - 1) e^{t}

= e^{t} (t - 1)

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply:

1 \cdot e^{t} = e^{t}

= e^{t} t - e^{t}

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Frequently Asked Questions (FAQ)

What is expand (t-1)e^t ?
The solution to expand (t-1)e^t is e^tt-e^t