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MathNet 2017-part-07 — 172 problems (EN–VI) Question 115

Math Olympiad Vault · MathNet 2017-part-07 — 172 problems (EN–VI)

Question 115

Compute
$$
100^{2}+99^{2}-98^{2}-97^{2}+96^{2}+95^{2}-94^{2}-93^{2}+\ldots+4^{2}+3^{2}-2^{2}-1^{2}
$$