8
QuizMultiple Choice

The Binomial Theorem

Question 8 • Adv. Algebra II S1 Original

What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10?

Answer
A
10C5(2)5(3)5
B
10C5(2)5(–3)5
C
–10C5(2)5(–3)5
D
10C5(2)5(3)

Explanation

To get an x⁵y⁵ term, choose 5 factors of 2x and 5 factors of −3y from the 10 factors. Its coefficient is ¹⁰C₅(2)⁵(−3)⁵, which matches choice B. Since (−3)⁵ is negative, the coefficient is negative.

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