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Popular >

expand (t-3)e(-st)

Solution

expand

(t - 3) e (- s t)

Solution

- e t^{2} s + 3 e t s

Solution steps

(t - 3) e (- s t)

= e (t - 3) (- t s)

Apply the distributive law:

a (b - c) = ab - a c

a = e (- s t), b = t, c = 3

= e (- s t) t - e (- s t) \cdot 3

= e t (- t s) - 3 e (- t s)

Simplify

e t (- t s) - 3 e (- t s) : - e t^{2} s + 3 e t s

= - e t^{2} s + 3 e t s

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Frequently Asked Questions (FAQ)

What is expand (t-3)e(-st) ?
The solution to expand (t-3)e(-st) is -et^2s+3ets