Question

一题 计算题 整式加减若a^3+b^3=35,a^2·b-ab^2=-6,则(a^3-b^3)+(3ab^2-a^2·b

Answer 1

(a^3-b^3)+(3ab^2-a^2·b)-2(ab^2-b^3)

=a^3-b^3+3ab^2-a^2·b-2ab^2+2b^3

=(a^3-b^3+2b^3)+(3ab^2-a^2b-2ab^2)

=(a^3+b^3)+(ab^2-ab^2)

=(a^3+b^3)-(ab^2ab^2)

=35-(-6)

=41