SOLUTION: I am dealing with Binomial Theorem in my class and can't see to grasp it. I am having trouble with expanding expressions. Can you please help? the directions is to expand each e

Algebra ->  Test -> SOLUTION: I am dealing with Binomial Theorem in my class and can't see to grasp it. I am having trouble with expanding expressions. Can you please help? the directions is to expand each e      Log On


   



Question 403443: I am dealing with Binomial Theorem in my class and can't see to grasp it. I am having trouble with expanding expressions. Can you please help?
the directions is to expand each expression and the problem is
(x + y) to the 4th.
Thank you for your time to help me.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The expansion %28a%2Bb%29%5En is given by

%28nC0%29a%5En+%2B+%28nC1%29a%5E%28n-1%29b+%2B+%28nC2%29a%5E%28n-2%29b%5E2 + ... + nCn%28b%5En%29 where nCk+=+n%21%2F%28n-k%29%21k%21. Here,

%28x%2By%29%5E4+=+%284C0%29%28x%5E4%29+%2B+%284C1%29%28x%5E3%29y + ... + %284C4%29%28y%5E4%29

= x%5E4+%2B+4x%5E3y+%2B+6x%5E2y%5E2+%2B+4xy%5E3+%2B+y%5E4