What is expand e^{7t}(27*U(t-18)) ?

The solution to expand e^{7t}(27*U(t-18)) is 27e^{7t}tU-486e^{7t}U

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expand e^{7t}(27*U(t-18))

expand

e^{7 t} (27 \cdot U (t - 18))

27 e^{7 t} t U - 486 e^{7 t} U

Solution steps

e^{7 t} (27 U (t - 18))

Remove parentheses:

(a) = a

= e^{7 t} \cdot 27 U (t - 18)

= 27 e^{7 t} U (t - 18)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{7 t} \cdot 27 U, b = t, c = 18

= e^{7 t} \cdot 27 U t - e^{7 t} \cdot 27 U \cdot 18

= 27 e^{7 t} t U - 27 \cdot 18 e^{7 t} U

Multiply the numbers:

27 \cdot 18 = 486

= 27 e^{7 t} t U - 486 e^{7 t} U

\frac{( X ^{3} + X ^{2} + 5 X + 4 )}{( X ^{2} + 4 ) ^{2}}

x^{3} (x ln (x) - x)

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) \cdot \frac{d y}{d x}

(x - 3) (x - 2 - i) (x + 2 + i)

What is expand e^{7t}(27*U(t-18)) ?
The solution to expand e^{7t}(27*U(t-18)) is 27e^{7t}tU-486e^{7t}U