已知ab²=6,求ab(a^2b^5-ab^3-b)的值

已知ab²=6,求ab(a^2b^5-ab^3-b)的值
已知ab²=6,求ab(a^2b^5-ab^3-b)的值

已知ab²=6,求ab(a^2b^5-ab^3-b)的值
ab(a^2b^5-ab^3-b)
=a^3b^6-a^2b^4-ab^2
=(ab^2)^3-(ab^2)^2-ab^2
=6³-6²-6
=216-36-6
=174

ab(a^2b^5--ab^3--b)
=ab^2(a^2b^4--ab^2--1)
=ab^2[ab^2(ab^2--1)--1]
=6x[6x(6--1)--1]
=6x[6x5--1]
=6x(30--1)
=6x29
=174.