In (2x + 3)⁹, the coefficient of x⁶ is:
Solution
General term: C(9,r) (2x)^(9-r) (3)^r. For x⁶: 9-r=6 → r=3. Coeff = C(9,3) × 2⁶ × 3³. C(9,3)=84, C(9,6)=84 (symmetric). So C(9,6) × 2⁶ × 3³ works too.
About this question
Subject: Mathematics · Chapter: Binomial Theorem · Topic: General Term
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