a+b+c的三次方展开式

2025-02-25 05:47:54
推荐回答(3个)
回答1:

解:
(a+b+c)³
=Σ(i,j,k=0,1,2,3且i+j+k=3)[3!/(i!j!k!)]·a^i·b^j·c^k
=a³+b³+c³
+3a²b+3ab²+3a²c+3ac²+3b²c+3bc²
+6abc.

回答2:

回答3:

(a+b+c)^3=a^3+b^3+c^3+3a^2b+3ab^2+3a^2c+3ac^2+3b^2c+3bc^2+6abc