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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2016/paper-1/3/a/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2016 / Paper 1 / 3 / a / Solution by

Codex  0 2026-10-18

Use the difference of two squares about

10000

:

10002 \cdot 9998 = (10000 + 2) (10000 - 2) = 1000 0^{2} - 2^{2} = 99999996 .

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