已知a=2,b=3,c=-2,A=3a^2b+3ab^2+b^4,B=a^2b+11ab^2+a^4,C=8ab^2+2a^2b+c^4求A+B-C
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![已知a=2,b=3,c=-2,A=3a^2b+3ab^2+b^4,B=a^2b+11ab^2+a^4,C=8ab^2+2a^2b+c^4求A+B-C](/uploads/image/z/1268250-42-0.jpg?t=%E5%B7%B2%E7%9F%A5a%3D2%2Cb%3D3%2Cc%3D-2%2CA%3D3a%5E2b%2B3ab%5E2%2Bb%5E4%2CB%3Da%5E2b%2B11ab%5E2%2Ba%5E4%2CC%3D8ab%5E2%2B2a%5E2b%2Bc%5E4%E6%B1%82A%2BB-C)
已知a=2,b=3,c=-2,A=3a^2b+3ab^2+b^4,B=a^2b+11ab^2+a^4,C=8ab^2+2a^2b+c^4求A+B-C
已知a=2,b=3,c=-2,A=3a^2b+3ab^2+b^4,B=a^2b+11ab^2+a^4,C=8ab^2+2a^2b+c^4求A+B-C
已知a=2,b=3,c=-2,A=3a^2b+3ab^2+b^4,B=a^2b+11ab^2+a^4,C=8ab^2+2a^2b+c^4求A+B-C
∵a=2,b=3,c=-2
∵A=3a²b+3ab²+b^4
B=a²b+11ab²+a^4
C=8ab²+2a²b+c^4
∴A+B-C
=3a²b+3ab²+b^4+(a²b+11ab²+a^4)-(8ab²+2a²b+c^4)
=3a²b+3ab²+b^4+a²b+11ab²+a^4-8ab²-2a²b-c^4
=2a²b+6ab²+b^4+a^4-c^4
=2×2²×3+6×2×3²+3^4+2^4-(-2)^4
=24+108+81+16-16
=213
A+B-C
=2a^2b+6ab^2+a^4+b^4-c^4
=2a^2b+6ab^2+b^4
=24+108+81
=213