问题
计算题
化简下列各式:
(1)5ab﹣3ab+12ab;
(2)4x2y﹣2xy2﹣5xy2+2x2y;
(3)2(x2y+xy)﹣3(x2y﹣xy)﹣4x2y;
(4)a2﹣2[a2﹣(2a2﹣b)].
答案
解:(1)5ab﹣3ab+12ab
=(5﹣3+12)ab
=14ab;
(2)4x2y﹣2xy2﹣5xy2+2x2y
=(﹣2﹣5)xy2+(4+2)x2y
=﹣7xy2+6x2y;
(3)2(x2y+xy)﹣3(x2y﹣xy)﹣4x2y
=2x2y+2xy﹣3x2y+3xy﹣4x2y
=5x2y+5xy;
(4)a2﹣2[a2﹣(2a2﹣b)]
=a2﹣2[a2﹣2a2+b)]
=a2﹣2a2+4a2﹣2b
=3a2﹣2b.