计算:(1)2(m+1)2-(2m+1)(2m-1);(2)4x2-(2x+3)(2x-3);(3)先化简,再求值.[(x+2y)2-(x+y)(3x-y)-5y2]

发布时间:2020-08-06 00:04:49

计算:
(1)2(m+1)2-(2m+1)(2m-1);
(2)4x2-(2x+3)(2x-3);
(3)先化简,再求值.[(x+2y)2-(x+y)(3x-y)-5y2]÷2x,其中x=-2,y=.

网友回答

解:(1)2(m+1)2-(2m+1)(2m-1),
=2(m2+2m+1)-4m2+1,
=-2m2+4m+3;

(2)4x2-(2x+3)(2x-3),
=4x2-(4x2-9),
=9;

(3)[(x+2y)2-(x+y)(3x-y)-5y2]÷2x
=[(x2+4xy+4y2)-3x2-2xy+y2-5y2]÷2x
=(-2x2+2xy)÷2x
=-x+y,
当x=-2,y=时,原式=-(-2)+=.
解析分析:(1)分别求出(m+1)2和(2m+1)(2m-1),再去括号合并同类项;
(2)求出(2x+3)(2x-3),去括号,最后合并同类项;
(3)求出(x+2y)2和(x+y)(3x-y),再去括号,合并同类项,化简求值.

点评:本题考查整式的混合运算,熟练掌握各运算法则是解题的关键,要注意符号的处理.
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