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Binomial Theorem
Multinomial Expansion, Number of Terms
jee_main_2026_april_6_shift_1
Grade None

Question:

The number of terms in the expansion of (1 + x + x²)^4 is:
A. 6
B. 7
C. 8
D. 9

Step-by-Step Solution

Key Concept: Number of terms in (1 + x + x²)^n is 2n+1.
Step 1: (1 + x + x²)^4 has maximum degree 8. Step 2: All powers from 0 to 8 are present. Step 3: Number of terms = 9.
Correct Answer: D
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