Using binomial theorem, prove that (101)50 >(greater than) 10050 >(greater than) 9950
10150 = (100+1)50 = 10050+ (some constant)
9950 = (100-1)50 = 10050- ((10049-10048) + (10047-10046)+ … +(10-1))
10150 > 10050 > 9950
9950 = (100-1)50 = 10050- ((10049-10048) + (10047-10046)+ … +(10-1))
10150 > 10050 > 9950