现规定一种运算:a※b=ab+a-b,其中a,b为实数,则a※b-(ab)※b等于( )

问题描述:

现规定一种运算:a※b=ab+a-b,其中a,b为实数,则a※b-(ab)※b等于( )

a※b-(ab)※b
=ab+a-b-[(ab)b+ab-b]
=ab+a-b-ab²-ab+b
=a-ab²


a※b-(ab)※b
=ab+a-b-[abb+ab-b]
=ab+a-b-ab²-ab+b
=a-ab²

a※b-(ab)※b
=ab+a-b-[ab²+ab-b]
=ab+a-b-ab²-ab+b
=a-ab²

a - a b^2