What is expand L^5U(t-2)-3tU(t-5) ?

The solution to expand L^5U(t-2)-3tU(t-5) is L^5Ut-2L^5U-3Ut^2+15Ut

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expand L^5U(t-2)-3tU(t-5)

expand

L^{5} U (t - 2) - 3 t U (t - 5)

L^{5} U t - 2 L^{5} U - 3 U t^{2} + 15 U t

Solution steps

L^{5} U (t - 2) - 3 t U (t - 5)

= L^{5} U (t - 2) - 3 U t (t - 5)

Expand

L^{5} U (t - 2) : L^{5} U t - 2 L^{5} U

= L^{5} U t - 2 L^{5} U - 3 t U (t - 5)

Expand

- 3 t U (t - 5) : - 3 U t^{2} + 15 U t

= L^{5} U t - 2 L^{5} U - 3 U t^{2} + 15 U t

(\frac{1 - x ^{3}}{1 - x})^{8}

\frac{2 x ^{2} - 9 x + 12}{( x - 2 ) ( x - 3 )}

x (1 - x - y)^{2}

(12 y + 2 t - 5) d t + (6 y + 12 t - 1) d y

(3 (x - 2 y) + 2 (x + 3) = 4,) (4 (x + y) - 3 (x + 2 y) = - 2)

What is expand L^5U(t-2)-3tU(t-5) ?
The solution to expand L^5U(t-2)-3tU(t-5) is L^5Ut-2L^5U-3Ut^2+15Ut