问题
解答题
先化简,再求值
(1)(2a+b)(2a-b)+3(2a-b)2,其中a=-1,b=2;
(2)[(x+y)(x-y)-(x+y)2-2y(x-2y)]÷(-2y),其中x=5,y=2011.
答案
(1)(2a+b)(2a-b)+3(2a-b)2
=4a2-b2+12a2-12ab+2b2
=16a2-12ab+2b2,
当a=-1,b=2时,
原式=48;
(2)[(x+y)(x-y)-(x+y)2-2y(x-2y)]÷(-2y),
=(x2-y2-x2-2xy-y2-2xy+4y2)÷(-2y)
=-y+2x,
当x=5,y=2011时,
原式=-2001.