题目内容
下列计算对不对?若不对,请在横线上写出正确结果.
(1)(x-3)(x+3)=x2-3
(2)(2x-3)(2x+3)=2x2-9
(3)(-x-3)(x-3)=x2-9
(4)(2xy-1)(2xy+1)=2xy2-1
(1)(x-3)(x+3)=x2-3
错误
错误
,(x-3)(x+3)=x2-
(x-3)(x+3)=x2-
;(2)(2x-3)(2x+3)=2x2-9
错误
错误
,(2x-3)(2x+3)=4x2-9
(2x-3)(2x+3)=4x2-9
;(3)(-x-3)(x-3)=x2-9
错误
错误
,(-x-3)(x-3)=9-x2
(-x-3)(x-3)=9-x2
;(4)(2xy-1)(2xy+1)=2xy2-1
错误
错误
,(2xy-1)(2xy+1)=4xy2-1
(2xy-1)(2xy+1)=4xy2-1
.分析:各项利用平方差公式化简得到结果,即可做出判断.
解答:解:(1)(x-3)(x+3)=x2-3,错误,正确解法为:(x-3)(x+3)=x2-9;
(2)(2x-3)(2x+3)=2x2-9,错误,正确解法为:(2x-3)(2x+3)=4x2-9;
(3)(-x-3)(x-3)=x2-9,错误,正确解法为:(-x-3)(x-3)=9-x2;
(4)(2xy-1)(2xy+1)=2xy2-1,错误,正确解法为:(2xy-1)(2xy+1)=4xy2-1.
故答案为:(1)错误;(x-3)(x+3)=x2-9;(2)错误,(2x-3)(2x+3)=4x2-9;(3)错误,(-x-3)(x-3)=9-x2;(4)错误,(2xy-1)(2xy+1)=4xy2-1.
(2)(2x-3)(2x+3)=2x2-9,错误,正确解法为:(2x-3)(2x+3)=4x2-9;
(3)(-x-3)(x-3)=x2-9,错误,正确解法为:(-x-3)(x-3)=9-x2;
(4)(2xy-1)(2xy+1)=2xy2-1,错误,正确解法为:(2xy-1)(2xy+1)=4xy2-1.
故答案为:(1)错误;(x-3)(x+3)=x2-9;(2)错误,(2x-3)(2x+3)=4x2-9;(3)错误,(-x-3)(x-3)=9-x2;(4)错误,(2xy-1)(2xy+1)=4xy2-1.
点评:此题考查了平方差公式,熟练掌握平方差公式是解本题的关键.
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