问题 解答题

计算:

(1)(a+b)(-a+b)(a-b)(-a-b)=______;

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

答案

(1)(a+b)(-a+b)(a-b)(-a-b),

=(a+b)(a-b)(-a+b)(-a-b),

=(a2-b2)(a2-b2),

=a4-2a2b2+b4

(2)(x+y)2-2(x+y)(x-y)+(x-y)2

=[(x+y)-(x-y)]2

=(x+y-x+y)2

=4y2

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