7
QuizMultiple Choice

The Binomial Theorem

Question 7 • Adv. Algebra II S1 Original

What is the second term in the binomial expansion of (2r – 3s)12?

Answer
A
–73,728r11s
B
73,728r11s
C
608,256r10s2
D
–608,256r10s2

Explanation

The second term uses one factor of −3s and eleven factors of 2r. Its coefficient is 12 × 2¹¹ × (−3) = 12 × 2,048 × (−3) = −73,728, and its variables are r¹¹s. So the second term is −73,728r¹¹s, choice A.

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