Question

According to the Binomial Theorem, one of the terms in the expansion of ( x+y)⁵ is

Answer 1

Lets draw the Pascal's triangle for n=5:

In Pascal's triangle, each number is the sum of the two numbers directly above it.

By using the last row, we can expand the given expression as

then, the answer is

`(x+y)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5`