问题 选择题

下列去括号(或添括号)运算:

①3m-[5n-(2p-1)]=3m-5n+2p-1

②-(3m-2)-(-n+p)=-3m-2+n+p

③3xy-5x2y-2xy2+1=3xy-[5x2y+(2xy2-1)]

④x3-5x2-4x+9=9-(5x2+4x-x3

其中正确的个数是(  )

A.1个

B.2个

C.3个

D.4个

答案

①3m-[5n-(2p-1)]=3m-5n+2p-1,去括号正确,故本项正确;

②-(3m-2)-(-n+p)=-3m+2+n+p,去括号错误,故本项错误;

③3xy-5x2y-2xy2+1=3xy-[5x2y+(2xy2-1)],添括号正确,故本项正确;

④x3-5x2-4x+9=9-(5x2+4x-x3),添括号正确,故本项正确;

综上可得:①③④正确,共3个.

故选C.

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