问题
计算题
化简 (1)2x2y﹣2xy﹣4xy2+xy+4x2y﹣3xy2
(2)3 (4x2﹣3x+2)﹣2 (1﹣4x2+x)
(3)5abc﹣2a2b﹣[3abc﹣3 (4ab2+a2b)]
(4)(2x2+x)﹣2[x2﹣2(3x2﹣x)].
答案
解:(1)2x2y﹣2xy﹣4xy2+xy+4x2y﹣3xy2=2x2y+4x2y﹣2xy+xy﹣4xy2﹣3xy2=6x2y﹣xy﹣7xy2;
(2)3 (4x2﹣3x+2)﹣2 (1﹣4x2+x)=12x2﹣9x+6﹣2+8x2﹣2x=20x2﹣11x+4
(3)5abc﹣2a2b﹣[3abc﹣3 (4ab2+a2b)]=5abc﹣2a2b﹣[3abc﹣12ab2﹣3a2b]=5abc﹣2a2b﹣3abc+12ab2+3a2b=2abc+a2b+12ab2;
(4)(2x2+x)﹣2[x2﹣2(3x2﹣x)]=2x2+x﹣2[x2﹣6x2+2x]=2x2+x﹣2x2+12x2﹣4x=12x2﹣3x;