题目内容
观察下列各组中的两个多项式:
①3x+y与x+3y;②-2m-2n与-(m+n);③2mn-4mp与-n+2p;④4x2-y2与2y+4x;⑤x2+6x+9与2x2y+6xy.
其中有公因式的是( )
①3x+y与x+3y;②-2m-2n与-(m+n);③2mn-4mp与-n+2p;④4x2-y2与2y+4x;⑤x2+6x+9与2x2y+6xy.
其中有公因式的是( )
| A.①②③④ | B.②③④⑤ | C.③④⑤ | D.①③④⑤ |
①3x+y与x+3y没有公因式;
②-2m-2n与-(m+n)公因式为(m+n);
③2mn-4mp与-n+2p公因式为-n+2p;
④4x2-y2与2y+4x公因式为2x+y;
⑤x2+6x+9=(x+3)2与2x2y+6xy=2xy(x+3)公因式为x+3.
故选B.
②-2m-2n与-(m+n)公因式为(m+n);
③2mn-4mp与-n+2p公因式为-n+2p;
④4x2-y2与2y+4x公因式为2x+y;
⑤x2+6x+9=(x+3)2与2x2y+6xy=2xy(x+3)公因式为x+3.
故选B.
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