已知:A=2a²+3ab-b²,B=-1/2ab,C=1/8a³b³-1/4a²b^4,求2A*B²-C.

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已知:A=2a²+3ab-b²,B=-1/2ab,C=1/8a³b³-1/4a²b^4,求2A*B²-C.

2A*B²-C
=2(2a²+3ab-b²)×(-1/2ab)²-(1/8a³b³-1/4a²b^4)
=2(2a²+3ab-b²)×1/4a²b²-(1/8a³b³-1/4a²b^4)
=a^4b²+3a³b³/2-a²b^4/2-1/8a³b³+1/4a²b^4
=a^4b²+11a³b³/8-a²b^4/4