展开 (x+1)e^x

解答

展开

(x + 1) e^{x}

e^{x} x + e^{x}

求解步骤

(x + 1) e^{x}

= e^{x} (x + 1)

使用分配律:

a (b + c) = ab + a c

a = e^{x}, b = x, c = 1

= e^{x} x + e^{x} \cdot 1

= e^{x} x + 1 \cdot e^{x}

乘以:

1 \cdot e^{x} = e^{x}

= e^{x} x + e^{x}

s im pl i f y (1 - 3 i)^{4}

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

s im pl i f y (x - 2) (x - 5) (x - 3) (x + 3)

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

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