What is expand 2t^3+6t^2+9t+e^{2t}(2-13t)+6 ?

The solution to expand 2t^3+6t^2+9t+e^{2t}(2-13t)+6 is 2t^3+6t^2+9t+2e^{2t}-13e^{2t}t+6

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expand 2t^3+6t^2+9t+e^{2t}(2-13t)+6

expand

2 t^{3} + 6 t^{2} + 9 t + e^{2 t} (2 - 13 t) + 6

2 t^{3} + 6 t^{2} + 9 t + 2 e^{2 t} - 13 e^{2 t} t + 6

Solution steps

2 t^{3} + 6 t^{2} + 9 t + e^{2 t} (2 - 13 t) + 6

Expand

e^{2 t} (2 - 13 t) : 2 e^{2 t} - 13 e^{2 t} t

= 2 t^{3} + 6 t^{2} + 9 t + 2 e^{2 t} - 13 e^{2 t} t + 6

- \frac{( x - 5 ) ( 2 x + 1 )}{( x - 2 ) ^{2} ( x + 3 )}

- \frac{48 x}{( x ^{2} - 4 ) ^{2}}

(x + 3) (x - 3) (x - 4)

csc (x) (csc (x) + sin (x)) - c t an x (c t an x - tan (x))

5 x^{\frac{2}{3}} (8 x - 4 x^{\frac{1}{4}})

What is expand 2t^3+6t^2+9t+e^{2t}(2-13t)+6 ?
The solution to expand 2t^3+6t^2+9t+e^{2t}(2-13t)+6 is 2t^3+6t^2+9t+2e^{2t}-13e^{2t}t+6