A.(x+y)(x-y) B.(x-y)(-x-y) C.(-x+y)(x+y) D.(x+y)(-x-y)可以用完全平方公式计算的是?
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A.(x+y)(x-y) B.(x-y)(-x-y) C.(-x+y)(x+y) D.(x+y)(-x-y)可以用完全平方公式计算的是?
A.(x+y)(x-y) B.(x-y)(-x-y) C.(-x+y)(x+y) D.(x+y)(-x-y)可以用完全平方公式计算的是?
A.(x+y)(x-y) B.(x-y)(-x-y) C.(-x+y)(x+y) D.(x+y)(-x-y)可以用完全平方公式计算的是?
ABC都是平方差公式
A.(x+y)(x-y)=x^2-y^2
B.(x-y)(-x-y)=(x-y)[-(x+y)]=-(x-y)(x+y)=-(x^2-y^2)=-x^2+y^2
C.(-x+y)(x+y)=[-(x-y)](x+y)=-(x-y)(x+y)=-(x^2-y^2)=-x^2+y^2
只有D是完全平方公式
D .(x+y)(-x-y)=(x+y)[-(x+y)]=-(x+y)^2=-(x^+2xy+y^2)=-x^2-2xy-y^2
我写这么多的目的是告诉你,这题的考点除了完全平方公式,还有平方差公式和去/添括号的知识
特别是添括号
(x+y)(-x-y)
=(x+y)[-(x+y)]
=-(x+y)²
选D
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