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.

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