展开 (e^{(2t)}+5)*sin(3t)

解答

展开

(e^{(2 t)} + 5) \cdot sin (3 t)

e^{2 t} sin (3 t) + 5 sin (3 t)

求解步骤

(e^{(2 t)} + 5) sin (3 t)

= sin (3 t) (e^{(2 t)} + 5)

使用分配律:

a (b + c) = ab + a c

a = sin (3 t), b = e^{(2 t)}, c = 5

= sin (3 t) e^{(2 t)} + sin (3 t) \cdot 5

= e^{(2 t)} sin (3 t) + 5 sin (3 t)

去除括号:

(a) = a

= e^{2 t} sin (3 t) + 5 sin (3 t)

e x p an d 8 (\frac{3 π}{2} - 1)

e x p an d cos (x) (sec (x) + 3, x)

s im pl i f y (a + 5) (a - 5)

e x p an d - 4 (x + 2) (- \frac{1}{4} = \frac{x}{- 4 ( x + 2 )})

e x p an d \frac{x ( x + 3 )}{x ^{2} + x - 12}