展开 l(t-1)2e^3t

解答

展开

l (t - 1) 2 e^{3} t

2 e^{3} l t^{2} - 2 e^{3} lt

求解步骤

l (t - 1) \cdot 2 e^{3} t

= 2 e^{3} lt (t - 1)

使用分配律:

a (b - c) = ab - a c

a = l \cdot 2 e^{3} t, b = t, c = 1

= l \cdot 2 e^{3} tt - l \cdot 2 e^{3} t \cdot 1

= 2 e^{3} ltt - 2 \cdot 1 \cdot e^{3} lt

化简

2 e^{3} ltt - 2 \cdot 1 \cdot e^{3} lt : 2 e^{3} l t^{2} - 2 e^{3} lt

= 2 e^{3} l t^{2} - 2 e^{3} lt

e x p an d \frac{x ^{4}}{( x - 1 ) ( x - 2 ) ( x - 3 )}

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

e x p an d \frac{1}{( s + 2 ) ( s ^{2} + 2 s + 4 )}

e x p an d (1 - ln (x)) (1 + ln (x))

e x p an d (6 x y^{3}) d x + (4 y^{3} + 9 x^{2} y^{2}) d y