x_(A) Use Pascal's Triangle to complete the expansion of (r+s)^4 r^4+square r^3s+6r^2s^2+square rs^3+s^4

Question

x_(A) Use Pascal's Triangle to complete the expansion of (r+s)^4 r^4+square r^3s+6r^2s^2+square rs^3+s^4

Answer 1

To expand

using Pascal's Triangle, we can use the binomial theorem. The binomial theorem states that

, where

is the binomial coefficient given by

.For

, we look at the 4th row of Pascal's Triangle (remembering that we start counting rows from row 0), which is 1, 4, 6, 4, 1. These are the coefficients we will use.The expansion is:

So, the completed expansion is:

Question

x_(A) Use Pascal's Triangle to complete the expansion of (r+s)^4 r^4+square r^3s+6r^2s^2+square rs^3+s^4

Solution

Resposta