题目内容
下列各组多项式没有公因式的是( )
| A.2x-2y与y-x | B.x2-xy与xy-x2 |
| C.3x+y与x+3y | D.5x+10y与-2y-x |
A、∵2x-2y=2(x-y),y-x=-(x-y),∴两个多项式有公因式x-y;
B、∵x2-xy=x(x-y),xy-x2=-x(x-y),∴两个多项式有公因式x(x-y);
C、3x+y与x+3y没有公因式;
D、∵5x+10y=5(x+2y),-2y-x=-(x+2y),∴两个多项式有公因式x+2y.
故选C.
B、∵x2-xy=x(x-y),xy-x2=-x(x-y),∴两个多项式有公因式x(x-y);
C、3x+y与x+3y没有公因式;
D、∵5x+10y=5(x+2y),-2y-x=-(x+2y),∴两个多项式有公因式x+2y.
故选C.
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