Question Detail

MTH 101 Binomial Expansion Objective Question
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Question

Expand (1 + √x)^6 and simplify the coefficients.
Options
A 1 + 6√x + 15x + 20x√x + 15x^2 + 6x^2√x + x^3
Correct Answer
B 1 + 6√x + 15x + 20x√x + 15x^2 + 6x^2√x + 2x^3
C 1 + 6√x + 15x + 20x√x + 15x^2 + 6x^2√x + x^2
D 1 + 5√x + 15x + 20x√x + 15x^2 + 6x^2√x + x^3
Correct Answer

Option A is the correct answer.

Detailed Explanation

Use binomial theorem with a=1, b=√x, n=6 → coefficients: C(6,k).

Hint

Write all powers of √x and simplify exponents.

Question Info

Course: MTH 101
Topic: Binomial Expansion
Type: Objective
Difficulty: Not specified
Question 67 of 696
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