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Problem 692

AMC 10/12, early questions

Algebra Difficulty 3.9 Find the answer Harvard-MIT Math Tournament · United States

What is the sum of the coefficients of the expansion $(x+2y-1)^6$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Solution:
The sum of the coefficients of a polynomial is that polynomial evaluated at $1$ , which for the question at hand is $(1+2 \cdot 1-1)^6 = 2^6 = 64$ .

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