(a+b+c)的4次方等于多少

2024-11-30 17:23:29
推荐回答(1个)
回答1:

解:
(a+b+c)^4
=[(a+b+c)²]²
=[a²+2a(b+c)+(b+c)²]²
=[a²+2a(b+c)+(b+c)²][a²+2a(b+c)+(b+c)²]
=a^4+2a³(b+c)+a²(b+c)²+2a³(b+c)+4a²(b+c)²+2a(b+c)³+a²(b+c)²+2a(b+c)³+(b+c)^4
=a^4+4a³(b+c)+6a²(b+c)²+4a(b+c)³+(b+c)^4
=a^4+4a³b+4a³c+6a²b²+12a²bc+6a²c²+4ab³+12ab²c+12abc²+4ac³+b^4+4b³c+6b²c²+4bc³+c^4