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IMAS 2022–2023 — Junior Division — Round 2 Question 6

IMAS · IMAS 2022–2023 — Junior Division — Round 2

Question 6

What is the coefficient of $x^2$ in the product $(1-x)(1+2x)(1-2^2x)(1+2^3x)(1-2^4x)(1+2^5x)(1-2^6x)(1+2^7x)$?