Question

If a = 2012, b = 2011, c = 2010 then the value of a2 + b2 + c2 - ab - bc - ca is
(1) 0
(2) 2012
(3) 3
(4).4024​

Answer 1

Answer:

Hey!!

Here is your answer:

Step-by-step explanation:

2012^2+2011^2+2010^2-2012×2011×2011×2010×2010×2012

Solving squares first for easier calculation:

4048144+4044121+4040100

=12132365-4046132(ans of ab)

=8086233-4042110(ans of bc)

=4044123-4044120(ans of ac)

=3

hope it helps!!!