展开 e^{(-2t)}sin(2t)+e^{(2t)}(t-a)^{(2)}

解答

展开

e^{(- 2 t)} sin (2 t) + e^{(2 t)} (t - a)^{(2)}

e^{- 2 t} sin (2 t) + e^{2 t} t^{2} - 2 e^{2 t} t a + e^{2 t} a^{2}

求解步骤

e^{- 2 t} sin (2 t) + e^{2 t} (t - a)^{2}

(t - a)^{2} = t^{2} - 2 t a + a^{2}

= e^{- 2 t} sin (2 t) + e^{2 t} (t^{2} - 2 t a + a^{2})

乘开

e^{2 t} (t^{2} - 2 t a + a^{2}) : e^{2 t} t^{2} - 2 e^{2 t} t a + e^{2 t} a^{2}

= e^{- 2 t} sin (2 t) + e^{2 t} t^{2} - 2 e^{2 t} t a + e^{2 t} a^{2}

e x p an d e^{4 t} s (t - 3)

e x p an d \frac{x ^{2} - 18 x + 32}{2 x ^{2} ( x - 32 )}

e x p an d \frac{240 \cdot x ( 3 \cdot x ^{4} - 10 \cdot x ^{2} + 3 )}{( 1 + x ^{2} ) ^{6}}

\frac{d ^{2}}{d x ^{2}} ((y) (x - \frac{1}{2} sin (x)))

e x p an d \frac{a ( a ^{5} - a b ^{2} + b ^{3} )}{b}