What is expand u(-t-1)e^{2t} ?

The solution to expand u(-t-1)e^{2t} is -e^{2t}ut-e^{2t}u

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply:

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

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

\frac{( 1 - a ^{2} ) ^{2}}{a ^{2} - 2 a - 1}

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\frac{\partial}{\partial y} ((z) (yz + x ln (x + y)))

\frac{d ^{2}}{d x ^{2}} ((y) (- 5 x^{9} + 5))

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