Question

Using Pascal’s Triangle, what is the fourth term in the expansion of (a+3)^4
when the expanded polynomial is written in standard form?

Answers

GPT 3.5
To find the fourth term in the expansion of (a + 3)^4 when written in standard form, we can use Pascal's triangle to determine the coefficients of the terms in the expansion.

The coefficients in the expansion of (a + b)^n are given by the entries in the nth row of Pascal's triangle.

The fourth row of Pascal's triangle is 1 4 6 4 1.

In the expansion of (a + 3)^4, the coefficients of the terms will be in the order: 1, 4, 6, 4, 1.

Therefore, the fourth term in the expansion of (a + 3)^4 is 6a^2 * 3^2 = 6a^2 * 9 = 54a^2.

Related Questions