问题 填空题

(x-y)2+______=(x+y)2

答案

(x+y)2=x2+2xy+y2

=x2+2xy+y2-4xy+4xy,

=x2-2xy+y2+4xy,

=(x-y)2+4xy,

故(x-y)2+4xy=(x+y)2

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