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.