Binomial Theorem

Question

Use the Binomial Theorem to expand the following:
(a+b)^6
(x+1)^7

Answer 1

Remember, binomial theorem using combination theory to describe an expansion:

 

(a+b)^6 = a^6 + (6C1)*a^5*b + (6C2)*a^4*b^2 + ... + (6C5)*a*b^5 + b^6

 

(x+1)^7 = x^7 + (7C1)*x^6 + (7C2)*x^5 + ... + (7C6)*x + 1