已知A=3A^2B+3AB^2+B^4,B=-8AB^2+2A^2B+C^4,求A-2B

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已知A=3A^2B+3AB^2+B^4,B=-8AB^2+2A^2B+C^4,求A-2B
已知A=3A^2B+3AB^2+B^4,B=-8AB^2+2A^2B+C^4,求A-2B

已知A=3A^2B+3AB^2+B^4,B=-8AB^2+2A^2B+C^4,求A-2B
A=3A^2B+3AB^2+B^4,
2B=-16AB^2+4A^2B+2C^4,
A-2B=-A^2B+19AB^2+B^2-2C^4

A=3a^2b+3ab^2+b^4
B=-ab^2+2a^2b+c^4
A-2B
=(3a^2b+3ab^2+b^4)-2(-ab^2+2a^2b+c^4)
=3a^2b+3ab^2+b^4+2ab^2-4a^2b-2c^4
=5a^2b-ab^2+b^4-2c^4