What is expand Le^4t(t-cos(t)) ?

The solution to expand Le^4t(t-cos(t)) is e^4Lt^2-e^4Ltcos(t)

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expand Le^4t(t-cos(t))

expand

L e^{4} t (t - cos (t))

e^{4} L t^{2} - e^{4} L t cos (t)

Solution steps

L e^{4} t (t - cos (t))

= e^{4} L t (t - cos (t))

Apply the distributive law:

a (b - c) = ab - a c

a = L e^{4} t, b = t, c = cos (t)

= L e^{4} tt - L e^{4} t cos (t)

= e^{4} L tt - e^{4} L t cos (t)

e^{4} L tt = e^{4} L t^{2}

= e^{4} L t^{2} - e^{4} L t cos (t)

(2 + \frac{2 i}{n})^{2}

(x + 1)^{3}

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

(0, - 1) y (1, 1)

cos (x + y) (1 + \frac{d y}{d x})

What is expand Le^4t(t-cos(t)) ?
The solution to expand Le^4t(t-cos(t)) is e^4Lt^2-e^4Ltcos(t)