展开 e^{z^3+z^2}*(3z^2+2z)

解答

展开

e^{z^{3} + z^{2}} \cdot (3 z^{2} + 2 z)

3 e^{z^{3} + z^{2}} z^{2} + 2 e^{z^{3} + z^{2}} z

求解步骤

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

使用分配律:

a (b + c) = ab + a c

a = e^{z^{3} + z^{2}}, b = 3 z^{2}, c = 2 z

= e^{z^{3} + z^{2}} \cdot 3 z^{2} + e^{z^{3} + z^{2}} \cdot 2 z

= 3 e^{z^{3} + z^{2}} z^{2} + 2 e^{z^{3} + z^{2}} z

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

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

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

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

e x p an d \frac{2 ( 4 - π )}{4}