问题 解答题

计算:

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

(2)(a+2b+3c)(a+2b-3c)

答案

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

=x2-4y2-(x2+4xy+4y2

=x2-4y2-x2-4xy-4y2

=-4xy-8y2

(2)(a+2b+3c)(a+2b-3c)

=[(a+2b)+3c][(a+2b)-3c]

=(a+2b)2-9c2

=a2+4ab+4b2-9c2

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