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Popular >

expand (2t-1)e^{at}

Solution

expand

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

Solution

2 e^{t a} t - e^{t a}

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply:

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

= 2 e^{t a} t - e^{t a}

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Frequently Asked Questions (FAQ)

What is expand (2t-1)e^{at} ?
The solution to expand (2t-1)e^{at} is 2e^{ta}t-e^{ta}