The expression (x + 4) ( 2x - 3) equivalent to which of the following? I. 2x (x + 4)-3(x+4) II. (x-4) (2x + 3) III. 2x²-12

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问题 The expression (x + 4) ( 2x - 3) equivalent to which of the following?
I. 2x (x + 4)-3(x+4)
II. (x-4) (2x + 3)
III. 2x²-12

选项 A、I only
B、II only
C、III only
D、II and III only
E、I ,II, and III

答案A

解析 表达式(x+4)(2x-3)与下面哪一个等价?
解:本题的正确答案为(A)。把I式提取公因式(x+4)可以得到(2x-3)(x+4),故与I式等价。把其余两项的多项式展开,发现它们与(x+4)(2x-3)不存在等价关系。
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