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HMMT 二月 2001 · GEN1 赛 · 第 5 题

HMMT February 2001 — GEN1 Round — Problem 5

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. What is the sum of the coefficients of the expansion ( x + 2 y − 1) ?
解析

英文解析

  1. What is the sum of the coefficients of the expansion ( x + 2 y − 1) ?
    Solution: The sum of the coefficients of a polynomial is that polynomial evaluated at
    6 6
    1, which for the question at hand is (1 + 2 · 1 − 1) = 2 = 64 .