Question

Identify which row of Pascal's triangle will be used for expanding the given binomial expression

(2x3+3y 2)⁷
a. Row 0
b. Row 6
c. Row 7
d. Row 8

Answer 1

The 7th row of Pascal's triangle is used for expanding the binomial expression (2x³ + 3y²)⁷ using the binomial theorem.

Step-by-step explanation:

The student is asking which row of Pascal's triangle will be used for expanding the binomial expression ((2x³ + 3y²)⁷. This relates to the binomial theorem, which states that the expansion of a binomial expression raised to an exponent n will have coefficients that correspond to the n-th row of Pascal's triangle, starting with row 0 for the 0-th power. Therefore, for the expansion of (a + b)⁷, we use the 7th row of Pascal's triangle. The correct answer is c. Row 7.