Home > Binomial Theorem > jee_main_2026_jan_22_shift_1 > 7ed37f6a42704327a94a9a2e41ca4d39

Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Binomial Theorem

Multinomial Expansion, Number of Terms

jee_main_2026_jan_22_shift_1

Grade None

Question:

The number of terms in the expansion of \((1 + x + x^2)^3\) is:

A. 5

B. 6

C. 7

D. 8

Step-by-Step Solution

Key Concept: Number of terms in \((1 + x + x^2)^n\) is \(2n+1\).

Step 1: \((1 + x + x^2)^3\) has maximum degree 6. Step 2: All powers from 0 to 6 are present. Step 3: Number of terms = 7.

Correct Answer: C

Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.