问题 填空题

(a+b)2=______+(a-b)2,(a+b)2+(a-b)2=______.

答案

(a+b)2-(a-b)2

=(a2+2ab+b2)-(a2-2ab+b2

=4ab;

(a+b)2+(a-b)2

=(a2+2ab+b2)+(a2-2ab+b2

=2a2+2b2

故答案是:4ab,2a2+2b2

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