10
QuizMultiple Choice

The Binomial Theorem

Question 10 • EA Pre-Calculus Credit Recovery

Find the 7th term of the expansion of (3c + 2d)9.

Answer
A
760c3d6
B
760c4d5
C
145,152c3d6
D
145,152c4d5

Explanation

For the 7th term, use r = 6 in the binomial term formula: choose(9, 6)(3c)^3(2d)^6. The coefficient is 84 × 27 × 64 = 145,152, and the variables are c³d⁶, so the term is 145,152c³d⁶, choice C.

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