17
QuizMultiple Choice

Topic Test — Cumulative exam

Question 17 • EA Pre-Calculus Credit Recovery

Find the 6th term of the expansion of (2p - 3q)11.

Answer
A
-7,185,024p4q7
B
-7,185,024p6q5
C
-7,185p4q7
D
-7,185p6q5

Explanation

The 6th term uses the 5th power of the second term: \(\binom{11}{5}(2p)^6(-3q)^5\). This equals \(462\cdot64\cdot(-243)p^6q^5=-7{,}185{,}024p^6q^5\). So the answer is choice B, \(-7{,}185{,}024p^6q^5\).

AI-written and checked against the verified answer.

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