计算:
(1)1-(-1-2x)2???????(2)20052-2007×2003???? (3)[(x+y)2-(x-y)2-4x2y2]÷(2xy)
网友回答
解:(1)1-(-1-2x)2,
=1-(1+4x+4x2),
=1-1-4x-4x2,
=-4x2-4x;
(2)20052-2007×2003,
=4020025-4020021,
=4;
? (3)[(x+y)2-(x-y)2-4x2y2]÷(2xy),
=[x2+2xy+y2-(x2-2xy+y2)-4x2y2]÷2xy,
=[4xy-4x2y2]÷2xy,
=2-2xy.
解析分析:(1)先算平方,在去掉括号,然后得出结果即可.
(2)先算平方,再算乘法,最后进行相减即可.
(3)先算平方,在进行合并,最后进行相除即可得出结果.
点评:本题主要考查了整式的混合运算,在解题时要注意运算顺序及符号.