Coefficient of x² in expansion of (1 + 2x)¹⁰:
A10
B180 (= C(10,2) × 4 = 45 × 4)
C20
D45
Answer & Solution
Correct answer: B. 180 (= C(10,2) × 4 = 45 × 4)
(1 + 2x)¹⁰: coefficient of x^r = C(10, r) × 2^r. For r=2: C(10,2) × 4 = 45 × 4 = 180.
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