Question

The coefficients in the expansion of (x + y)⁵ are

A. 1, 5, 10, 10, 5, 1
B. 1, 5, 10, 5, 1
C. 0, 5, 10, 10, 5, 0
D. 0, 1, 5, 10, 5, 1, 0

Answer 1

The coefficients in the expansion of (x + y)⁵ are provided by the Binomial Theorem and correspond to the 5th row of Pascal's Triangle, specifically 1, 5, 10, 10, 5, 1.

option a is the correct

Step-by-step explanation:

The coefficients in the binomial expansion of (x + y)⁵ are determined by the Binomial Theorem, which states that when a binomial is raised to a positive integer 'n', the expansion is a sum involving terms of the form nCk × aⁿÙ⁻ᵣ⁰ × bᵣ, where nCk are the binomial coefficients, and a and b are the two terms of the binomial being expanded.

The coefficients for the binomial expansion of (x + y)⁵ follow the 5th row of Pascal's Triangle and are 1, 5, 10, 10, 5, 1.