题目内容
下列式子中不成立的有( )
(1)(x-y)2=(y-x)2
(2)(x+y)(x-y)=(-x-y)(y-x)
(3)(a-2b)3(2b-a)=(a-2b)2(2b-a)2;
(4)(x-2)(x2-2x+4)=x3-8
(5)(x-y)2=(x+y)2-4xy
(1)(x-y)2=(y-x)2
(2)(x+y)(x-y)=(-x-y)(y-x)
(3)(a-2b)3(2b-a)=(a-2b)2(2b-a)2;
(4)(x-2)(x2-2x+4)=x3-8
(5)(x-y)2=(x+y)2-4xy
A.1个 | B.2个 | C.3个 | D.4个 |
(1)(x-y)2=x2-2xy+y2=(y-x)2,成立;
(2)(x+y)(x-y)=x2-y2=(-x-y)(y-x),成立;
(3)(a-2b)3(2b-a)=-(a-2b)4≠(a-2b)2(2b-a)2,不成立;
(4)(x-2)(x2-2x+4)=x3-2x2+4x-2x2+4x-8≠x3-8,不成立;
(5)(x-y)2=x2+2xy+y2-4xy=(x+y)2-4xy,成立;
故共有(3)(4)2个不成立,
故选B.
(2)(x+y)(x-y)=x2-y2=(-x-y)(y-x),成立;
(3)(a-2b)3(2b-a)=-(a-2b)4≠(a-2b)2(2b-a)2,不成立;
(4)(x-2)(x2-2x+4)=x3-2x2+4x-2x2+4x-8≠x3-8,不成立;
(5)(x-y)2=x2+2xy+y2-4xy=(x+y)2-4xy,成立;
故共有(3)(4)2个不成立,
故选B.
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