已知a^3十b^3=27,a^2b一ab^2=一6'求代数式(b^3一a^3)十(a^2b一3ab^2)一2(b^3一a^2b)的_数学解答

已知a^3十b^3=27,a^2b一ab^2=一6'求代数式(b^3一a^3)十(a^2b一3ab^2)一2(b^3一a^2b)的值

人气：101 ℃　时间：2020-02-05 15:31:44

解答

(b^3-a^3)+(a^2b-3ab^2)-2(b^3-ab^2)
=b^3-a^3+a^2b-3ab^2-2b^3+2ab^2
=-a^3-b^3+a^2b-ab^2
=-(a^3+b^3)+(a^2b-ab^2)
=-27+(-6)
=-33