Question

Please explain how Pascals triangle works?

Answer 1

Pascals triangle or Pascal's triangle is a special triangle that is named after Blaise Pascal, in this triangle, we start with 1 at the top, then 1s at both sides of the triangle until the end. The middle numbers are so filled that each number is the sum of the two numbers just above it.

Generally, we can use Pascals' triangle to find the coefficients of binomial expansion

For example, we want to expand

`(x\text{ + y\rparen}^2`

Using Pascal's triangle, we can get the coefficients of the expansion:

`(x\text{ + y\rparen}^2\text{ = 1x}^2\text{ + 2xy + 1y}^2`