Question

when a+b+c=6042 Factorize (a-2013)^3+(b-2014)^3+(c-2015)^3

Answer 1

let( a-2013) be x ,(b-2014)=y, (c-2015)=z
then
x+y+z=a+B+c-(2013+2014+2015)=6042-6042
x+y+z=0
hence x^3+y^3+z^3=3xyz

so answer will be 3(a-2013)(b-2014){(c-2015)