AMC 8 1986 Problem 17

AMC8 1986 年第 17

奇偶性★★★☆☆
Let oo be an odd whole number and let nn be any whole number. Which of the following statements about the whole number (o2+no)(o^2+no) is always true?
oo 为一个奇整数,nn 为任意整数。关于整数 (o2+no)(o^2+no),以下哪条陈述一定成立?
  1. A.}\ \text{it is always odd} \qquad \text{(B)}\ \text{it is always even}$ $\text{(C)}\ \text{it is even only if } n \text{ is even} \qquad \text{(D)}\ \text{it is odd only if } n \text{ is odd}$ $\text{(E)}\ \text{it is odd only if } n \text{ is even}$

正确答案 · Correct Answer

E

解析 · Solution

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