
一道数学解答题,求老师,学霸帮忙!谢谢
已知A=(a^3b^2-1/2)(a^6b^4+1/4),B=a^3b^2+1/2,C=-a^12b^8.求A*B-C...
已知A=(a^3b^2-1/2)(a^6b^4+1/4),B=a^3b^2+1/2,C=-a^12b^8.求A*B-C
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A*B-C
=(a^3b^2-1/2)(a^6b^4+1/4)(a^3b^2+1/2)-(-a^12b^8)
=[(a^3b^2-1/2)(a^3b^2+1/2)](a^6b^4+1/4)-(-a^12b^8)
=(a^6b^4-1/4)(a^6b^4+1/4)+a^12b^8
=a^12b^8-1/16+a^12b^8
=2a^12b^8-1/16
=(a^3b^2-1/2)(a^6b^4+1/4)(a^3b^2+1/2)-(-a^12b^8)
=[(a^3b^2-1/2)(a^3b^2+1/2)](a^6b^4+1/4)-(-a^12b^8)
=(a^6b^4-1/4)(a^6b^4+1/4)+a^12b^8
=a^12b^8-1/16+a^12b^8
=2a^12b^8-1/16
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