题目

Each writer for the local newspaper is paid as follows: a dollars for each of the first n stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits n + a stories in a month earn than a writer who submits n + b stories?


选项

A.

(a – b)( a + b + n)

B.

a – b

C.

a2 – b2

D.

n( a – b)

E.

an + bn – an

解析

一个月提交\( n + a \)篇稿件的作者的收入: \( a*n + (a+b)*a \) 一个月提交\( n + b \)篇稿件的作者的收入: \( a*n + (a+b)*b \) 两人的收入差 = \( [a*n + (a+b)*a] - [a*n + (a+b)*b] = (a+b)(a - b) = a^2 - b^2 \) 答案:选项C
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