(a+b+cc)^(2017)+(a-b-c)^(2017)

When simplified how many terms would that be?

can we try this? i saw it in IMO past question I couldn't do it

Sir obleck I search for that book you said ,but no luck for me ....I only have 2014 past question but it hasn't been helpful so far...I need to understand the ideal and fast thinking to question like this.....

2 answers

(a+b+c)^1 = 2a
(a+b+c)^3 + (a-b-c)^3 = 2a(a^2 + 3(b+c)^2)
(a+b+c)^5 + (a-b-c)^5 = 2a(a^4 + 10a^2(b+c)^2 + 5(b+c)^4)
So, for k=n, there are
1: 1
3: 1+3
5: 1+3+5
these are the odd squares.
The answer must be 2017^2
Just the right person I was looking for thanks man
Similar Questions
  1. Please help,1) How do you solve 2017^2017 without a calculator? 2) What is the last digit of the solution to this problem:
    1. answers icon 1 answer
  2. AdmissionCare Facility Calendar 11/3/2015 6/10/2016 11/1/2016 2/13/2017 6/1/2017 Release 4/18/2016 9/14/2016 12/20/2016 5/1/2017
    1. answers icon 1 answer
  3. if f(x) = 16^x/(16^x + 4)find f(1/2017) + f(2/2017) +f(3/2017) + ...+ f(2016/2017)
    1. answers icon 3 answers
  4. By using the data in the table below, for 2017 with 2010 as base year:2010 2017 Product p0 q0 p1 q1 p1q0 p0q0 p1q1 p0q1 I 95 90
    1. answers icon 1 answer
more similar questions