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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/2012/paper-1/8/b/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 / 2012 / Paper 1 / 8 / b / Solution by

Codex  0 2026-10-18

The binomial theorem assigns binomial coefficient

(3 9)

to

x^{3}

. Since

(3 9) = 9 \cdot 8 \cdot 7/ (3 \cdot 2 \cdot 1) = 84

, the requested term is $84 x^{3}$ .

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