Question

1. how do you find the coefficient of the second term in the expansion of (a + b)^3? a. use the 3rd row of pascals triangle b. use the 4th row of pascals triangle c. use the 2nd row of pascals triangle d. use the 5th row of pascals triangle

Explanation:

Step1: Recall Pascal's Triangle property

The rows of Pascal's Triangle are numbered starting from 0. The coefficients of the binomial expansion \((a + b)^n\) are given by the \((n + 1)\) - th row of Pascal's Triangle.

Step2: Identify the row for \((a + b)^3\)

For the binomial expansion \((a + b)^3\), since \(n=3\), we use the \((3 + 1)=4\) - th row of Pascal's Triangle.

Answer:

B. Use the 4th row of Pascal's Triangle