SOLUTION: I'm homeschooled and I can't seem to get the steps of this problem. The question is: What is (x + y)^5 in expanded form? The answer is: x^5 + 5x^4y + 10x^3y^2 + 10x^2y

Algebra ->  Equations -> SOLUTION: I'm homeschooled and I can't seem to get the steps of this problem. The question is: What is (x + y)^5 in expanded form? The answer is: x^5 + 5x^4y + 10x^3y^2 + 10x^2y      Log On


   

Question 422053: I'm homeschooled and I can't seem to get the steps of this problem.
The question is:
What is (x + y)^5 in expanded form?
The answer is:
x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5
I'm not good with expansions, so please show me the steps.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
It comes from the Binomial theorem. The expansion of %28x%2By%29%5En is given by

sum%28%28nCi%29%28x%5Ei%29%28y%5E%28n-i%29%29%2C+i=0%2C+n%29 (here, nCi+=+n%21%2F%28%28n-i%29%21i%21%29, number of ways to choose i objects out of n total)

In this case,