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（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
=[(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
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