展开 t(e^t+e^{3t})^2

解答

展开

t (e^{t} + e^{3 t})^{2}

e^{2 t} t + 2 e^{4 t} t + e^{6 t} t

求解步骤

t (e^{t} + e^{3 t})^{2}

(e^{t} + e^{3 t})^{2} = e^{2 t} + 2 e^{4 t} + e^{6 t}

= t (e^{2 t} + 2 e^{4 t} + e^{6 t})

打开括号

= t e^{2 t} + t \cdot 2 e^{4 t} + t e^{6 t}

= e^{2 t} t + 2 e^{4 t} t + e^{6 t} t

e x p an d H (t - a) (t - 2)

e x p an d (5 + 7) (75 - 2)

s im pl i f y (5 + \frac{2 i}{n})^{2}

e x p an d \frac{1}{8} + \frac{1}{32} (x - 1) - \frac{21}{256} (x - 1)^{2}

e x p an d \frac{( s ^{2} + 6 )}{( s ( s - 1 ) ( s + 2 ) ( s - 3 ) )}