where n is a positive integer.
Proof of this theorem is done by mathematical induction
a) The alternate terms are negative
b) The sign of the last term depends on the value of n.]
Remark: Even though binomial theorem can be applied for negative integral indices and rational indices [with same conditions attached] we are not dealing with those situations in this chapter.
Example 1: Find the expansion of
Simplify using binomial theorem
Find the value of power of 11, using binomial theorem.